#PCA
library(readr)## Warning: package 'readr' was built under R version 4.2.2Diabetes <- read_csv("C:/Users/vidhi/Downloads/Diabetes.csv")## Rows: 499 Columns: 16
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## dbl (16): Diabetes_binary, HighBP, BMI, Smoker, Stroke, HeartDiseaseorAttack...
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.str(Diabetes)## spc_tbl_ [499 × 16] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
## $ Diabetes_binary : num [1:499] 0 0 0 0 0 0 0 0 0 0 ...
## $ HighBP : num [1:499] 1 1 0 1 0 0 0 0 0 0 ...
## $ BMI : num [1:499] 26 26 26 28 29 18 26 31 32 27 ...
## $ Smoker : num [1:499] 0 1 0 1 1 0 1 1 0 1 ...
## $ Stroke : num [1:499] 0 1 0 0 0 0 0 0 0 0 ...
## $ HeartDiseaseorAttack: num [1:499] 0 0 0 0 0 0 0 0 0 0 ...
## $ PhysActivity : num [1:499] 1 0 1 1 1 1 1 0 1 0 ...
## $ HvyAlcoholConsump : num [1:499] 0 0 0 0 0 0 1 0 0 0 ...
## $ AnyHealthcare : num [1:499] 1 1 1 1 1 0 1 1 1 1 ...
## $ GenHlth : num [1:499] 3 3 1 3 2 2 1 4 3 3 ...
## $ MentHlth : num [1:499] 5 0 0 0 0 7 0 0 0 0 ...
## $ PhysHlth : num [1:499] 30 0 10 3 0 0 0 0 0 6 ...
## $ Sex : num [1:499] 1 1 1 1 0 0 1 1 0 1 ...
## $ Age : num [1:499] 4 12 13 11 8 1 13 6 3 6 ...
## $ Education : num [1:499] 6 6 6 6 5 4 5 4 6 4 ...
## $ Income : num [1:499] 8 8 8 8 8 7 6 3 8 4 ...
## - attr(*, "spec")=
## .. cols(
## .. Diabetes_binary = col_double(),
## .. HighBP = col_double(),
## .. BMI = col_double(),
## .. Smoker = col_double(),
## .. Stroke = col_double(),
## .. HeartDiseaseorAttack = col_double(),
## .. PhysActivity = col_double(),
## .. HvyAlcoholConsump = col_double(),
## .. AnyHealthcare = col_double(),
## .. GenHlth = col_double(),
## .. MentHlth = col_double(),
## .. PhysHlth = col_double(),
## .. Sex = col_double(),
## .. Age = col_double(),
## .. Education = col_double(),
## .. Income = col_double()
## .. )
## - attr(*, "problems")=<externalptr>attach(Diabetes)
#Get the Correlations between the measurements
cor(Diabetes[-1])## HighBP BMI Smoker Stroke
## HighBP 1.00000000 0.233271793 0.108150142 0.139773759
## BMI 0.23327179 1.000000000 -0.004787471 -0.011000074
## Smoker 0.10815014 -0.004787471 1.000000000 0.052092579
## Stroke 0.13977376 -0.011000074 0.052092579 1.000000000
## HeartDiseaseorAttack 0.22312155 0.012686820 0.119860406 0.276533735
## PhysActivity -0.22528737 -0.168441268 -0.034178518 -0.162200293
## HvyAlcoholConsump -0.06488317 -0.056167322 -0.009391152 -0.028663382
## AnyHealthcare 0.05882816 -0.041330743 0.088752999 0.008162259
## GenHlth 0.35557676 0.211886204 0.074763071 0.224151365
## MentHlth 0.08743711 0.032942930 0.070468055 0.075523810
## PhysHlth 0.20258590 0.105688914 0.049562115 0.101010215
## Sex 0.01637975 0.005781638 0.224511262 -0.057620191
## Age 0.37500670 -0.038694836 0.116498093 0.161249367
## Education -0.19448405 -0.079893598 -0.079338228 -0.101153950
## Income -0.26234141 -0.187270089 -0.034880281 -0.163056610
## HeartDiseaseorAttack PhysActivity HvyAlcoholConsump
## HighBP 0.22312155 -0.225287373 -6.488317e-02
## BMI 0.01268682 -0.168441268 -5.616732e-02
## Smoker 0.11986041 -0.034178518 -9.391152e-03
## Stroke 0.27653374 -0.162200293 -2.866338e-02
## HeartDiseaseorAttack 1.00000000 -0.150980692 -4.093643e-02
## PhysActivity -0.15098069 1.000000000 7.996783e-02
## HvyAlcoholConsump -0.04093643 0.079967829 1.000000e+00
## AnyHealthcare 0.03395736 0.031795902 9.385514e-05
## GenHlth 0.19615977 -0.379321077 -6.205083e-02
## MentHlth 0.12917621 -0.040328200 -5.396165e-02
## PhysHlth 0.17196970 -0.261733132 7.016984e-03
## Sex 0.07220510 -0.009239187 2.051390e-02
## Age 0.25375827 -0.156053093 -7.372583e-02
## Education -0.11321236 0.164071035 4.990137e-02
## Income -0.14008962 0.216307611 1.337161e-01
## AnyHealthcare GenHlth MentHlth PhysHlth
## HighBP 5.882816e-02 0.35557676 0.08743711 0.202585896
## BMI -4.133074e-02 0.21188620 0.03294293 0.105688914
## Smoker 8.875300e-02 0.07476307 0.07046806 0.049562115
## Stroke 8.162259e-03 0.22415136 0.07552381 0.101010215
## HeartDiseaseorAttack 3.395736e-02 0.19615977 0.12917621 0.171969705
## PhysActivity 3.179590e-02 -0.37932108 -0.04032820 -0.261733132
## HvyAlcoholConsump 9.385514e-05 -0.06205083 -0.05396165 0.007016984
## AnyHealthcare 1.000000e+00 0.01257727 -0.06726467 0.031280608
## GenHlth 1.257727e-02 1.00000000 0.33041478 0.584650724
## MentHlth -6.726467e-02 0.33041478 1.00000000 0.338184198
## PhysHlth 3.128061e-02 0.58465072 0.33818420 1.000000000
## Sex 3.786612e-02 -0.08690804 -0.09924688 -0.019238921
## Age 1.635280e-01 0.13828098 -0.07820728 0.072200137
## Education 6.300604e-02 -0.33101626 -0.18108729 -0.218929319
## Income 6.090343e-02 -0.37372824 -0.21009823 -0.238328433
## Sex Age Education Income
## HighBP 0.016379754 0.37500670 -0.19448405 -0.26234141
## BMI 0.005781638 -0.03869484 -0.07989360 -0.18727009
## Smoker 0.224511262 0.11649809 -0.07933823 -0.03488028
## Stroke -0.057620191 0.16124937 -0.10115395 -0.16305661
## HeartDiseaseorAttack 0.072205097 0.25375827 -0.11321236 -0.14008962
## PhysActivity -0.009239187 -0.15605309 0.16407104 0.21630761
## HvyAlcoholConsump 0.020513896 -0.07372583 0.04990137 0.13371609
## AnyHealthcare 0.037866116 0.16352805 0.06300604 0.06090343
## GenHlth -0.086908042 0.13828098 -0.33101626 -0.37372824
## MentHlth -0.099246879 -0.07820728 -0.18108729 -0.21009823
## PhysHlth -0.019238921 0.07220014 -0.21892932 -0.23832843
## Sex 1.000000000 0.04056516 0.13689969 0.26633655
## Age 0.040565156 1.00000000 -0.13640669 -0.18016706
## Education 0.136899685 -0.13640669 1.00000000 0.50844063
## Income 0.266336551 -0.18016706 0.50844063 1.00000000# Using prcomp to compute the principal components (eigenvalues and eigenvectors). With scale=TRUE, variable means are set to zero, and variances set to one
Diabetes_pca <- prcomp(Diabetes[,-1],scale=TRUE)
Diabetes_pca## Standard deviations (1, .., p=15):
## [1] 1.7646922 1.2540627 1.1146446 1.0754771 1.0188832 1.0093606 0.9816263
## [8] 0.9187490 0.9010750 0.8355400 0.8071737 0.7555477 0.7203929 0.6639907
## [15] 0.5976521
##
## Rotation (n x k) = (15 x 15):
## PC1 PC2 PC3 PC4
## HighBP 0.326149229 0.246399261 -0.13303779 -0.26080449
## BMI 0.167626995 -0.101839483 0.04120408 -0.66482697
## Smoker 0.093333990 0.350190124 0.28938167 0.05229281
## Stroke 0.211842691 0.162241675 -0.13665199 0.37073969
## HeartDiseaseorAttack 0.239087419 0.316667386 0.01177870 0.29208452
## PhysActivity -0.291085313 -0.057618287 -0.03361984 0.27464859
## HvyAlcoholConsump -0.090283959 -0.002662284 0.24257599 0.16136839
## AnyHealthcare 0.005143826 0.329295696 -0.02590574 0.07389193
## GenHlth 0.440430257 -0.097915017 0.22701840 -0.03692534
## MentHlth 0.233893964 -0.265986788 0.38061240 0.30151528
## PhysHlth 0.349300603 -0.111540622 0.41669288 0.06206433
## Sex -0.079777876 0.433715325 0.43256510 -0.22683585
## Age 0.212579671 0.450806495 -0.35680625 0.04305580
## Education -0.320398143 0.186484273 0.19327836 -0.08877913
## Income -0.370084452 0.221427867 0.30917390 -0.01554688
## PC5 PC6 PC7 PC8
## HighBP -0.008269941 -0.10906402 -0.09655581 -0.2698343702
## BMI -0.071433125 0.03572986 -0.05743480 -0.5231458782
## Smoker 0.550101274 0.17628365 -0.18612003 0.0120565846
## Stroke -0.401701344 0.27739720 0.01466837 -0.1542399862
## HeartDiseaseorAttack -0.195132878 0.27008153 0.01483961 -0.3002428568
## PhysActivity 0.342307829 -0.09372920 -0.03906327 -0.5642317955
## HvyAlcoholConsump -0.283092530 -0.37582616 -0.79934851 -0.0963949484
## AnyHealthcare 0.129072603 -0.70109968 0.33836227 -0.0857513055
## GenHlth -0.114296874 -0.13677232 0.07770650 0.1028945455
## MentHlth 0.182407069 0.04554311 0.21335985 -0.3036853105
## PhysHlth -0.112870068 -0.23770044 0.12456154 0.1647823988
## Sex 0.096176135 0.25417875 -0.06652457 0.1513946402
## Age 0.034914264 -0.14596999 -0.05282487 0.0993500168
## Education -0.380645175 -0.02380269 0.32104021 -0.2041259867
## Income -0.253703680 -0.02291390 0.14131551 -0.0006541796
## PC9 PC10 PC11 PC12
## HighBP -0.32944063 -0.357349004 0.110808684 0.136294368
## BMI 0.26013875 0.145731702 -0.029611678 -0.050232966
## Smoker 0.37261357 -0.352592375 -0.321088908 -0.213702039
## Stroke 0.50830550 -0.209563654 0.432075377 0.040035634
## HeartDiseaseorAttack -0.17340541 0.540775940 -0.435655890 -0.140156256
## PhysActivity -0.19189638 0.027185580 0.410766222 -0.408359237
## HvyAlcoholConsump 0.02699488 -0.003146716 -0.081614107 0.133060848
## AnyHealthcare 0.37486619 0.259043096 0.004676320 0.197339594
## GenHlth 0.02231245 -0.095542371 0.124716063 -0.211497810
## MentHlth -0.19103418 -0.154036780 -0.068708928 0.590671465
## PhysHlth -0.14370660 0.044890882 0.116925618 -0.480698849
## Sex -0.11572066 0.317028455 0.490189988 0.223919970
## Age -0.36258045 -0.171491658 0.025402519 -0.006981887
## Education -0.06052129 -0.372124247 -0.238667548 -0.115815696
## Income -0.11077971 -0.138820034 -0.003060682 -0.016800980
## PC13 PC14 PC15
## HighBP -0.585988402 -0.08847753 -0.18655896
## BMI 0.316706307 0.19736718 -0.05395146
## Smoker -0.006698845 0.03241176 -0.02610930
## Stroke 0.043461280 0.03579847 -0.12886628
## HeartDiseaseorAttack -0.143795436 0.00484345 0.05542146
## PhysActivity 0.013493987 -0.01277978 0.12707956
## HvyAlcoholConsump 0.073539002 -0.07393938 0.03663940
## AnyHealthcare -0.086324735 -0.03441972 -0.01159808
## GenHlth -0.102959393 0.06712893 0.78110078
## MentHlth 0.215903965 0.06667656 -0.02789805
## PhysHlth 0.117119501 -0.04146314 -0.54157819
## Sex 0.065262372 -0.23117564 0.06108071
## Age 0.622968346 0.18299730 0.06392318
## Education 0.179008537 -0.52007680 0.11000067
## Income -0.159175565 0.75892425 -0.01334982summary(Diabetes_pca)## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Standard deviation 1.7647 1.2541 1.11464 1.07548 1.01888 1.00936 0.98163
## Proportion of Variance 0.2076 0.1048 0.08283 0.07711 0.06921 0.06792 0.06424
## Cumulative Proportion 0.2076 0.3125 0.39528 0.47239 0.54160 0.60952 0.67376
## PC8 PC9 PC10 PC11 PC12 PC13 PC14
## Standard deviation 0.91875 0.90107 0.83554 0.80717 0.75555 0.7204 0.66399
## Proportion of Variance 0.05627 0.05413 0.04654 0.04344 0.03806 0.0346 0.02939
## Cumulative Proportion 0.73003 0.78416 0.83071 0.87414 0.91220 0.9468 0.97619
## PC15
## Standard deviation 0.59765
## Proportion of Variance 0.02381
## Cumulative Proportion 1.00000# sample scores stored in Diabetes_pca$x
# singular values (square roots of eigenvalues) stored in sparrow_pca$sdev
# loadings (eigenvectors) are stored in Diabetes_pca$rotation
# variable means stored in Diabetes_pca$center
# variable standard deviations stored in Diabetes_pca$scale
# A table containing eigenvalues and %'s accounted, follows
# Eigenvalues are sdev^2
(eigen_Diabetes <- Diabetes_pca$sdev^2)## [1] 3.1141387 1.5726732 1.2424327 1.1566511 1.0381229 1.0188088 0.9635902
## [8] 0.8440998 0.8119361 0.6981272 0.6515293 0.5708524 0.5189659 0.4408837
## [15] 0.3571881names(eigen_Diabetes) <- paste("PC",1:15,sep="")
eigen_Diabetes## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8
## 3.1141387 1.5726732 1.2424327 1.1566511 1.0381229 1.0188088 0.9635902 0.8440998
## PC9 PC10 PC11 PC12 PC13 PC14 PC15
## 0.8119361 0.6981272 0.6515293 0.5708524 0.5189659 0.4408837 0.3571881sumlambdas <- sum(eigen_Diabetes)
sumlambdas## [1] 15propvar <- eigen_Diabetes/sumlambdas
propvar## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## 0.20760925 0.10484488 0.08282884 0.07711007 0.06920819 0.06792059 0.06423934
## PC8 PC9 PC10 PC11 PC12 PC13 PC14
## 0.05627332 0.05412908 0.04654181 0.04343529 0.03805682 0.03459773 0.02939224
## PC15
## 0.02381254cumvar_Diabetes <- cumsum(propvar)
cumvar_Diabetes## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8
## 0.2076092 0.3124541 0.3952830 0.4723930 0.5416012 0.6095218 0.6737612 0.7300345
## PC9 PC10 PC11 PC12 PC13 PC14 PC15
## 0.7841636 0.8307054 0.8741407 0.9121975 0.9467952 0.9761875 1.0000000matlambdas <- rbind(eigen_Diabetes,propvar,cumvar_Diabetes)
rownames(matlambdas) <- c("Eigenvalues","Prop. variance","Cum. prop. variance")
round(matlambdas,4)## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8
## Eigenvalues 3.1141 1.5727 1.2424 1.1567 1.0381 1.0188 0.9636 0.8441
## Prop. variance 0.2076 0.1048 0.0828 0.0771 0.0692 0.0679 0.0642 0.0563
## Cum. prop. variance 0.2076 0.3125 0.3953 0.4724 0.5416 0.6095 0.6738 0.7300
## PC9 PC10 PC11 PC12 PC13 PC14 PC15
## Eigenvalues 0.8119 0.6981 0.6515 0.5709 0.5190 0.4409 0.3572
## Prop. variance 0.0541 0.0465 0.0434 0.0381 0.0346 0.0294 0.0238
## Cum. prop. variance 0.7842 0.8307 0.8741 0.9122 0.9468 0.9762 1.0000summary(Diabetes_pca)## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Standard deviation 1.7647 1.2541 1.11464 1.07548 1.01888 1.00936 0.98163
## Proportion of Variance 0.2076 0.1048 0.08283 0.07711 0.06921 0.06792 0.06424
## Cumulative Proportion 0.2076 0.3125 0.39528 0.47239 0.54160 0.60952 0.67376
## PC8 PC9 PC10 PC11 PC12 PC13 PC14
## Standard deviation 0.91875 0.90107 0.83554 0.80717 0.75555 0.7204 0.66399
## Proportion of Variance 0.05627 0.05413 0.04654 0.04344 0.03806 0.0346 0.02939
## Cumulative Proportion 0.73003 0.78416 0.83071 0.87414 0.91220 0.9468 0.97619
## PC15
## Standard deviation 0.59765
## Proportion of Variance 0.02381
## Cumulative Proportion 1.00000Diabetes_pca$rotation## PC1 PC2 PC3 PC4
## HighBP 0.326149229 0.246399261 -0.13303779 -0.26080449
## BMI 0.167626995 -0.101839483 0.04120408 -0.66482697
## Smoker 0.093333990 0.350190124 0.28938167 0.05229281
## Stroke 0.211842691 0.162241675 -0.13665199 0.37073969
## HeartDiseaseorAttack 0.239087419 0.316667386 0.01177870 0.29208452
## PhysActivity -0.291085313 -0.057618287 -0.03361984 0.27464859
## HvyAlcoholConsump -0.090283959 -0.002662284 0.24257599 0.16136839
## AnyHealthcare 0.005143826 0.329295696 -0.02590574 0.07389193
## GenHlth 0.440430257 -0.097915017 0.22701840 -0.03692534
## MentHlth 0.233893964 -0.265986788 0.38061240 0.30151528
## PhysHlth 0.349300603 -0.111540622 0.41669288 0.06206433
## Sex -0.079777876 0.433715325 0.43256510 -0.22683585
## Age 0.212579671 0.450806495 -0.35680625 0.04305580
## Education -0.320398143 0.186484273 0.19327836 -0.08877913
## Income -0.370084452 0.221427867 0.30917390 -0.01554688
## PC5 PC6 PC7 PC8
## HighBP -0.008269941 -0.10906402 -0.09655581 -0.2698343702
## BMI -0.071433125 0.03572986 -0.05743480 -0.5231458782
## Smoker 0.550101274 0.17628365 -0.18612003 0.0120565846
## Stroke -0.401701344 0.27739720 0.01466837 -0.1542399862
## HeartDiseaseorAttack -0.195132878 0.27008153 0.01483961 -0.3002428568
## PhysActivity 0.342307829 -0.09372920 -0.03906327 -0.5642317955
## HvyAlcoholConsump -0.283092530 -0.37582616 -0.79934851 -0.0963949484
## AnyHealthcare 0.129072603 -0.70109968 0.33836227 -0.0857513055
## GenHlth -0.114296874 -0.13677232 0.07770650 0.1028945455
## MentHlth 0.182407069 0.04554311 0.21335985 -0.3036853105
## PhysHlth -0.112870068 -0.23770044 0.12456154 0.1647823988
## Sex 0.096176135 0.25417875 -0.06652457 0.1513946402
## Age 0.034914264 -0.14596999 -0.05282487 0.0993500168
## Education -0.380645175 -0.02380269 0.32104021 -0.2041259867
## Income -0.253703680 -0.02291390 0.14131551 -0.0006541796
## PC9 PC10 PC11 PC12
## HighBP -0.32944063 -0.357349004 0.110808684 0.136294368
## BMI 0.26013875 0.145731702 -0.029611678 -0.050232966
## Smoker 0.37261357 -0.352592375 -0.321088908 -0.213702039
## Stroke 0.50830550 -0.209563654 0.432075377 0.040035634
## HeartDiseaseorAttack -0.17340541 0.540775940 -0.435655890 -0.140156256
## PhysActivity -0.19189638 0.027185580 0.410766222 -0.408359237
## HvyAlcoholConsump 0.02699488 -0.003146716 -0.081614107 0.133060848
## AnyHealthcare 0.37486619 0.259043096 0.004676320 0.197339594
## GenHlth 0.02231245 -0.095542371 0.124716063 -0.211497810
## MentHlth -0.19103418 -0.154036780 -0.068708928 0.590671465
## PhysHlth -0.14370660 0.044890882 0.116925618 -0.480698849
## Sex -0.11572066 0.317028455 0.490189988 0.223919970
## Age -0.36258045 -0.171491658 0.025402519 -0.006981887
## Education -0.06052129 -0.372124247 -0.238667548 -0.115815696
## Income -0.11077971 -0.138820034 -0.003060682 -0.016800980
## PC13 PC14 PC15
## HighBP -0.585988402 -0.08847753 -0.18655896
## BMI 0.316706307 0.19736718 -0.05395146
## Smoker -0.006698845 0.03241176 -0.02610930
## Stroke 0.043461280 0.03579847 -0.12886628
## HeartDiseaseorAttack -0.143795436 0.00484345 0.05542146
## PhysActivity 0.013493987 -0.01277978 0.12707956
## HvyAlcoholConsump 0.073539002 -0.07393938 0.03663940
## AnyHealthcare -0.086324735 -0.03441972 -0.01159808
## GenHlth -0.102959393 0.06712893 0.78110078
## MentHlth 0.215903965 0.06667656 -0.02789805
## PhysHlth 0.117119501 -0.04146314 -0.54157819
## Sex 0.065262372 -0.23117564 0.06108071
## Age 0.622968346 0.18299730 0.06392318
## Education 0.179008537 -0.52007680 0.11000067
## Income -0.159175565 0.75892425 -0.01334982print(Diabetes_pca)## Standard deviations (1, .., p=15):
## [1] 1.7646922 1.2540627 1.1146446 1.0754771 1.0188832 1.0093606 0.9816263
## [8] 0.9187490 0.9010750 0.8355400 0.8071737 0.7555477 0.7203929 0.6639907
## [15] 0.5976521
##
## Rotation (n x k) = (15 x 15):
## PC1 PC2 PC3 PC4
## HighBP 0.326149229 0.246399261 -0.13303779 -0.26080449
## BMI 0.167626995 -0.101839483 0.04120408 -0.66482697
## Smoker 0.093333990 0.350190124 0.28938167 0.05229281
## Stroke 0.211842691 0.162241675 -0.13665199 0.37073969
## HeartDiseaseorAttack 0.239087419 0.316667386 0.01177870 0.29208452
## PhysActivity -0.291085313 -0.057618287 -0.03361984 0.27464859
## HvyAlcoholConsump -0.090283959 -0.002662284 0.24257599 0.16136839
## AnyHealthcare 0.005143826 0.329295696 -0.02590574 0.07389193
## GenHlth 0.440430257 -0.097915017 0.22701840 -0.03692534
## MentHlth 0.233893964 -0.265986788 0.38061240 0.30151528
## PhysHlth 0.349300603 -0.111540622 0.41669288 0.06206433
## Sex -0.079777876 0.433715325 0.43256510 -0.22683585
## Age 0.212579671 0.450806495 -0.35680625 0.04305580
## Education -0.320398143 0.186484273 0.19327836 -0.08877913
## Income -0.370084452 0.221427867 0.30917390 -0.01554688
## PC5 PC6 PC7 PC8
## HighBP -0.008269941 -0.10906402 -0.09655581 -0.2698343702
## BMI -0.071433125 0.03572986 -0.05743480 -0.5231458782
## Smoker 0.550101274 0.17628365 -0.18612003 0.0120565846
## Stroke -0.401701344 0.27739720 0.01466837 -0.1542399862
## HeartDiseaseorAttack -0.195132878 0.27008153 0.01483961 -0.3002428568
## PhysActivity 0.342307829 -0.09372920 -0.03906327 -0.5642317955
## HvyAlcoholConsump -0.283092530 -0.37582616 -0.79934851 -0.0963949484
## AnyHealthcare 0.129072603 -0.70109968 0.33836227 -0.0857513055
## GenHlth -0.114296874 -0.13677232 0.07770650 0.1028945455
## MentHlth 0.182407069 0.04554311 0.21335985 -0.3036853105
## PhysHlth -0.112870068 -0.23770044 0.12456154 0.1647823988
## Sex 0.096176135 0.25417875 -0.06652457 0.1513946402
## Age 0.034914264 -0.14596999 -0.05282487 0.0993500168
## Education -0.380645175 -0.02380269 0.32104021 -0.2041259867
## Income -0.253703680 -0.02291390 0.14131551 -0.0006541796
## PC9 PC10 PC11 PC12
## HighBP -0.32944063 -0.357349004 0.110808684 0.136294368
## BMI 0.26013875 0.145731702 -0.029611678 -0.050232966
## Smoker 0.37261357 -0.352592375 -0.321088908 -0.213702039
## Stroke 0.50830550 -0.209563654 0.432075377 0.040035634
## HeartDiseaseorAttack -0.17340541 0.540775940 -0.435655890 -0.140156256
## PhysActivity -0.19189638 0.027185580 0.410766222 -0.408359237
## HvyAlcoholConsump 0.02699488 -0.003146716 -0.081614107 0.133060848
## AnyHealthcare 0.37486619 0.259043096 0.004676320 0.197339594
## GenHlth 0.02231245 -0.095542371 0.124716063 -0.211497810
## MentHlth -0.19103418 -0.154036780 -0.068708928 0.590671465
## PhysHlth -0.14370660 0.044890882 0.116925618 -0.480698849
## Sex -0.11572066 0.317028455 0.490189988 0.223919970
## Age -0.36258045 -0.171491658 0.025402519 -0.006981887
## Education -0.06052129 -0.372124247 -0.238667548 -0.115815696
## Income -0.11077971 -0.138820034 -0.003060682 -0.016800980
## PC13 PC14 PC15
## HighBP -0.585988402 -0.08847753 -0.18655896
## BMI 0.316706307 0.19736718 -0.05395146
## Smoker -0.006698845 0.03241176 -0.02610930
## Stroke 0.043461280 0.03579847 -0.12886628
## HeartDiseaseorAttack -0.143795436 0.00484345 0.05542146
## PhysActivity 0.013493987 -0.01277978 0.12707956
## HvyAlcoholConsump 0.073539002 -0.07393938 0.03663940
## AnyHealthcare -0.086324735 -0.03441972 -0.01159808
## GenHlth -0.102959393 0.06712893 0.78110078
## MentHlth 0.215903965 0.06667656 -0.02789805
## PhysHlth 0.117119501 -0.04146314 -0.54157819
## Sex 0.065262372 -0.23117564 0.06108071
## Age 0.622968346 0.18299730 0.06392318
## Education 0.179008537 -0.52007680 0.11000067
## Income -0.159175565 0.75892425 -0.01334982## Sample scores stored in sparrow_pca$x
Diabetes_pca$x## PC1 PC2 PC3 PC4 PC5
## [1,] -0.606240531 -0.398177515 2.391958872 -0.2383106771 -0.849227041
## [2,] 0.352807562 2.830353077 0.002293405 0.3251954957 -1.543227577
## [3,] -2.178113675 1.159551255 0.002062511 0.1841974664 -0.406924179
## [4,] -0.926465857 1.912889526 0.678087521 -0.5739676536 0.514738888
## [5,] -1.818475684 -0.049966573 -0.037373299 0.3764022678 0.784162415
## [6,] -2.163596044 -3.776800002 0.374854500 1.2299026639 -0.245668765
## [7,] -2.169569628 1.584375518 0.934135847 1.1467231594 -0.043214444
## [8,] 0.410018794 -0.244220845 0.708821575 -0.8335133071 0.941381915
## [9,] -2.255473061 -1.532074349 0.440338251 -0.2104653518 -0.874913480
## [10,] -0.015428398 -0.071476543 0.881305129 -0.3898030050 0.899067779
## [11,] 0.823915461 1.518058248 -0.931243547 1.2415755698 0.805118711
## [12,] -3.359160479 -0.152943084 0.736066936 0.4546072340 -0.357326944
## [13,] -1.935232397 0.678628476 0.298886842 -0.6341401395 -0.494977091
## [14,] 1.177495858 0.074250873 -0.021325458 -3.8360558955 -0.605865256
## [15,] -0.889377976 -0.320872696 -1.456080424 0.4881671112 1.696106536
## [16,] -0.912251229 -0.015763802 -0.631110084 1.5237722632 1.414935038
## [17,] -1.738441113 -0.697026763 -0.879499871 0.1992750422 -0.201299839
## [18,] -2.320801387 1.317180255 0.440297993 -0.1961042303 0.841201444
## [19,] -2.528846362 -0.440392279 -0.484142286 1.0442640296 -0.589561666
## [20,] 0.342525268 -1.420096473 0.714265293 -1.2900570223 -1.367258714
## [21,] -3.015466346 -0.718654644 -0.403400036 0.8535263483 -0.537830784
## [22,] 1.038127484 1.079553946 2.160644012 -0.4933776094 0.351709034
## [23,] -2.940616400 -0.483146821 0.763133788 1.6755372819 -2.051858581
## [24,] -1.644467931 -0.890240937 -1.396780233 0.3230041143 0.374459258
## [25,] 0.791264060 -1.616856831 -0.107904756 0.9238608396 0.308930030
## [26,] -2.097172293 0.069325402 0.398220866 -0.0126187072 -0.075461614
## [27,] -0.474682328 1.419714227 -0.643430572 0.1238195558 -0.100607637
## [28,] 0.961013814 -0.590986484 -0.832699432 -1.0518672709 -0.727404742
## [29,] -1.651639608 -1.403389957 -0.255879115 -0.5217829965 -0.298555910
## [30,] -1.632691189 -0.377051615 0.159385549 -0.6877574285 0.658635224
## [31,] 1.704135781 -2.164982745 1.656040529 1.4758181910 1.892349121
## [32,] -1.361771076 -1.469442667 0.147203074 0.9989437926 1.449439776
## [33,] -1.778087810 -0.784948456 0.695934712 0.6764068099 0.276939083
## [34,] -0.036878893 -1.966125490 -0.336146676 0.4876191828 -0.566905743
## [35,] -0.123794448 2.470797244 -0.066397476 0.2080989751 0.715706105
## [36,] -1.195731733 -1.476909516 -0.467396531 1.6590965153 0.898281182
## [37,] -2.190642492 -0.006794962 0.893728613 -0.5237881368 -1.208082754
## [38,] -1.870313226 0.547837097 0.928549178 -0.8403512741 0.755669825
## [39,] -2.090087049 0.471952090 1.119812203 -0.3084049804 0.933948664
## [40,] -2.171239633 1.446853098 0.242581082 0.1839560441 1.137386903
## [41,] -2.129855827 -0.838105324 0.844233475 1.3860766855 -1.802532550
## [42,] -2.523281797 0.341560385 0.438992299 -0.0852170308 -0.465179351
## [43,] -0.357933376 0.037659480 0.576466477 -3.0074346136 0.398232302
## [44,] -1.104995565 0.361425481 0.967422919 -1.4551350126 1.184745327
## [45,] -1.591538264 0.112916916 -0.840580130 -0.2352210252 -0.675480931
## [46,] 0.434295880 -1.589273150 1.308210576 0.8172830145 0.325218741
## [47,] -2.671945733 -0.319568428 0.104285728 1.3133139165 0.945867634
## [48,] -2.091202644 -0.872289105 -1.012620173 0.7748441511 0.093833084
## [49,] -2.254899214 -0.739252648 1.101274569 -0.0159292379 -0.252256799
## [50,] -0.878134388 1.470189969 -0.601158520 -0.0801021844 -0.239220356
## [51,] -0.021011650 -0.005302400 -1.404853976 -0.3089410320 0.043071162
## [52,] 0.834590864 -0.417315288 2.939931546 0.4681054531 0.961788224
## [53,] 0.524582441 2.436572199 0.043712945 -0.5700269952 0.548687229
## [54,] -2.470454763 -1.134212205 0.024439403 -0.0134862709 -0.717761570
## [55,] -2.467441524 -0.485954041 -0.694778037 1.0992146570 -0.270953059
## [56,] -1.987414713 0.796848832 -0.091182111 -0.5010076763 -0.943247535
## [57,] -1.387549504 -1.552782132 0.606928089 -1.6432891717 -1.703206521
## [58,] -1.390369653 0.460850907 -0.730682770 0.6272840900 1.302101211
## [59,] -3.264509549 -0.046106964 1.417001221 1.6847296908 -0.889176457
## [60,] 3.088994827 -0.185924380 2.760913096 -0.6970309121 0.728253743
## [61,] -0.143569338 0.364387021 3.025695360 0.5429814688 0.340223008
## [62,] 2.047436690 -0.577100770 -1.567957456 -1.4643776885 -0.182694209
## [63,] -0.096600756 1.734086549 -0.663235152 1.5892583589 0.289343703
## [64,] -1.630750928 0.207938535 0.641837034 0.3520372553 0.012413351
## [65,] -2.845029164 -0.513618475 1.182463366 -0.1521447367 -0.552552572
## [66,] 3.242622839 -2.029394200 1.830341632 3.5751352480 0.770949705
## [67,] -1.681017891 0.986498165 0.682794823 -1.2862442879 0.963852290
## [68,] -0.694000679 2.592138654 0.560669429 -0.4785484105 0.051024165
## [69,] -0.690127562 -0.566605055 -0.849195501 -0.4892813721 -0.219108844
## [70,] -2.228591931 -1.692364661 0.167537626 -1.1248653201 -0.766711159
## [71,] -2.661473973 -0.359873114 1.244245335 0.1811174059 -0.566171695
## [72,] -1.781969331 -0.257651903 0.687450704 0.1196862702 -0.257188728
## [73,] 3.730056691 -0.726358544 2.617701225 0.9515743710 1.542928528
## [74,] -2.439695549 -0.058043391 -0.107332356 0.4106926735 0.251233472
## [75,] -0.178500718 -0.628523357 -1.969896196 0.7251784543 0.608776384
## [76,] 0.038640360 0.167825198 -1.384302034 -0.2740053592 1.448132137
## [77,] -1.734280525 -0.850648257 0.368110103 1.4676670179 1.224648398
## [78,] -1.811395539 -0.081585182 0.175425615 -0.9461092237 -0.089813549
## [79,] -0.588754215 -1.469039759 0.849188809 0.8958811137 0.921021195
## [80,] -0.139242711 0.487081484 -1.223953428 -0.5577896058 1.205124644
## [81,] -3.057085303 -0.479155398 -0.564721822 1.3459097769 -0.473738775
## [82,] -0.344622830 -0.448822284 1.100266866 -0.8511454998 -0.275718408
## [83,] 1.640178510 -1.877442783 0.113202828 -0.7863296085 -0.182166113
## [84,] -1.411764499 -0.245015010 -1.513446134 1.1898176543 0.294705815
## [85,] -1.735237498 1.440029988 0.628255695 -1.7207906497 0.583522746
## [86,] -2.857191161 -1.547391200 0.457155833 0.8409784817 -0.652624084
## [87,] -2.530563661 -1.296205834 0.119801620 -0.2581973722 -0.774255326
## [88,] 4.390366151 -0.142393231 1.193938080 2.6964968666 -0.868905431
## [89,] 1.947730145 -2.690653586 1.281869023 -0.5479370100 -1.613982592
## [90,] -0.816890241 -0.045470328 0.298567424 -1.2925834993 -0.342065274
## [91,] 0.254945832 0.185179463 -0.957530453 -0.3364926057 1.367277530
## [92,] -2.390543199 0.054539644 0.361740526 0.3652325365 -0.071953781
## [93,] 2.885642134 1.953307583 1.296962070 -0.8852212105 -0.381979125
## [94,] -2.664593794 0.283453501 0.124848436 -0.3325446868 -0.285302652
## [95,] 2.576103208 0.325042883 0.549106714 0.4821520036 -0.530567348
## [96,] -1.808863748 0.053846731 -1.874778296 0.9924474228 0.002813246
## [97,] -1.376807675 -0.876752479 -1.128509078 1.1678901791 0.334271061
## [98,] -2.353607923 -0.253691264 -0.811525060 -0.3154152494 -0.630802790
## [99,] -1.034724763 -0.794762866 -0.851461100 0.1715526566 -0.137812699
## [100,] -1.268043388 -3.673889855 0.601597092 -0.8185845228 -1.710657689
## [101,] 1.404555441 -0.130684788 0.019379515 0.1847125097 -0.872698791
## [102,] 0.654684080 -0.149391390 0.341588253 0.9995112755 -1.355898615
## [103,] -3.026724937 -0.353395563 0.640199687 -0.2055654193 -0.316408359
## [104,] 4.161152579 -1.060125804 1.365196755 1.6451142572 1.311983601
## [105,] -1.442872036 -0.827727702 0.819631000 -0.9660751550 0.062068371
## [106,] 1.784056713 -0.326883881 -0.490750130 -0.3254687765 -0.724536632
## [107,] -1.783712826 0.221220113 -0.871391056 1.3896021524 1.477866334
## [108,] -1.948970227 0.544273766 1.584398637 -0.4126460721 0.447889435
## [109,] -0.951160944 1.819740233 0.691418541 -1.1744493066 -0.103405914
## [110,] 0.772646639 0.188908739 1.680305228 -1.7932047910 0.361787763
## [111,] -1.709492881 0.312250858 -0.312767456 0.5988007679 0.830432859
## [112,] -0.793878346 0.193215549 0.564407852 -0.3075107646 0.963394625
## [113,] 0.139798601 0.247298590 -0.724863070 -1.1840295569 0.920199148
## [114,] -0.779046200 0.866434152 -0.942668213 0.0172144532 0.799041252
## [115,] -0.026950229 -1.352287682 0.724883346 1.0781430348 -0.559088409
## [116,] -3.116399073 -0.084701052 0.467065546 0.4774100985 -0.231837955
## [117,] -1.742698849 -0.475757127 0.156668065 1.3126054954 1.169901753
## [118,] 0.012364592 0.296063473 0.990343944 -0.9297619879 0.746106047
## [119,] -1.725964768 0.781967552 0.252492638 -0.7301602435 -1.174320219
## [120,] -1.581609441 -0.895991463 0.366757932 -0.3520358538 0.426229760
## [121,] 0.147873526 -0.856057007 1.855554391 1.3881977901 2.062235997
## [122,] -1.683501360 -3.653644591 2.795129364 -0.1609395875 -0.179930632
## [123,] -1.628576805 -1.432365478 -0.204278125 0.9527911893 -0.007595822
## [124,] -1.589753545 -0.881332184 1.243319806 1.3507610216 -1.878341721
## [125,] -2.854180917 -0.741177528 1.086621042 -0.0784405597 -0.419723341
## [126,] -2.264444604 0.998472076 1.035742190 -0.2664711191 0.604815104
## [127,] 0.431575684 0.829226451 -2.582503322 0.7352084789 0.245674441
## [128,] -0.742633888 0.009111216 -0.418345027 -0.4448386432 -1.446995879
## [129,] -2.598843801 0.099303135 -1.056448365 0.8377463309 -0.483589855
## [130,] -1.944399388 1.254394641 0.701747929 0.0707114060 0.751024613
## [131,] 3.472329321 -2.108915719 1.435252511 1.4614550157 2.419631895
## [132,] -2.249828647 -0.353146263 1.143217517 -0.3740439865 -0.586347669
## [133,] -1.994339942 1.832077378 0.480576345 -0.0722663644 0.747592022
## [134,] 0.188427628 1.010925025 -0.052114399 -1.1800855322 1.522377436
## [135,] -2.803936962 -0.204523764 -0.804678917 0.9965320092 -0.488903512
## [136,] 1.035595103 2.226956775 1.079373890 0.8164854195 -1.080054913
## [137,] -1.671824636 0.076665990 -0.329999396 0.7803893108 0.950608191
## [138,] -0.346170376 0.861920307 -0.133350560 0.1300820294 1.889317424
## [139,] -2.557398366 0.824601666 0.752026156 0.4062313562 1.116520393
## [140,] -1.394396275 -0.212588952 1.191202093 -0.8995454238 -0.083337627
## [141,] 2.583933566 -1.462638195 0.826134069 3.2416378323 0.607913903
## [142,] -0.580435542 1.038743517 0.677212523 -1.4061559002 0.895995455
## [143,] -0.849555175 -0.808098669 -0.002740538 -0.3015956994 1.324310327
## [144,] 0.899210334 1.028029511 0.183866654 -0.1132551359 0.900370475
## [145,] -2.157228259 -0.893735977 -0.387216640 1.0056631031 -0.222979151
## [146,] -3.086308797 -2.839021528 -0.020699659 0.3790418354 -1.065236347
## [147,] -1.243519253 1.260717741 -0.033624856 -0.6021881365 -0.541394317
## [148,] -0.701617729 0.168885630 -0.690378614 0.1881852824 1.158876517
## [149,] 0.317352103 1.997921657 -0.245422675 0.0936719338 1.160089457
## [150,] -3.110998303 -0.946812420 2.624902862 1.0770449361 -1.931482426
## [151,] 0.078495165 2.994125587 0.489930262 0.7383058668 0.135601858
## [152,] 1.357741720 1.116954924 2.495577403 1.4626905239 0.378843740
## [153,] -1.688823044 0.006090956 -0.845882313 0.5531555897 -0.356760303
## [154,] -2.611716246 -0.321304826 -0.757429501 0.2341636523 -0.570817087
## [155,] -0.545398472 0.272488728 -0.762116123 0.0517122053 1.174413486
## [156,] -1.454176234 -2.399284630 1.502526484 1.0983568972 0.029503050
## [157,] 0.484732685 0.528623641 -0.645874266 -0.3868285438 0.350526972
## [158,] -0.803888282 1.601413427 0.497685615 -0.5235847468 0.901347313
## [159,] -1.751222071 -0.262367903 -0.716133023 -0.0052585983 0.420972720
## [160,] -0.849667858 -0.275006604 -0.212547607 0.5925189197 1.198726871
## [161,] -2.295745564 -0.629116232 -0.303982109 0.5871351819 -0.581638836
## [162,] -1.315602022 1.304510639 -0.051343387 -0.3163000027 -0.510676727
## [163,] -2.967411166 -0.747849910 -0.391587682 0.6629342591 -0.558309178
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## [165,] -1.799640531 -1.723079996 -0.400057155 0.1096315646 0.089145646
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## [168,] -0.546921486 -1.772312229 -1.128047938 -0.0232092254 -0.261063092
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## [171,] 0.883143650 0.511961522 1.161720466 0.3007184118 1.777949260
## [172,] -0.356799882 0.797789859 0.145245829 -1.6067597552 -0.977911266
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## [178,] -0.422256543 -0.627739614 -0.460563085 -1.9893588210 -0.650097859
## [179,] -1.020058776 -0.464222349 -0.989049262 0.0909406158 0.098430529
## [180,] -1.556605309 -2.160786697 0.329640950 0.0632094951 -0.275320543
## [181,] 3.297043938 0.257403752 0.702760923 4.4437413682 -0.535979608
## [182,] -1.788449506 -0.948724811 0.409171943 1.0256007733 1.065664338
## [183,] -0.756377615 0.305357620 0.096031373 -0.4377881033 0.455327950
## [184,] -0.570563606 1.549852982 1.208662360 -0.2808114710 0.724246515
## [185,] -0.257019080 -2.027634499 -0.414398727 0.3124974368 0.227965344
## [186,] -0.271171925 1.821710004 -0.334563507 2.0933860485 0.092486422
## [187,] -0.763464412 -3.580897547 -0.172448510 -0.1829732212 -0.462503137
## [188,] -0.883916741 -1.228277667 4.468215046 1.1017908425 -2.169012564
## [189,] -3.017321856 -0.788395925 0.532573347 1.4905753557 -1.632306063
## [190,] 0.611986059 -0.238083787 2.316491429 1.0489233734 0.928925171
## [191,] -2.086475486 1.458985422 0.759244072 -0.4289296933 0.630661081
## [192,] 2.428000404 0.418572159 -1.462223680 1.7315978535 -2.161625210
## [193,] -0.520185212 0.567388000 1.077594459 -2.9456719155 0.464043608
## [194,] 2.207916216 -2.026086871 1.427852767 0.9251153853 2.087592090
## [195,] -2.326459486 -2.675708313 0.133474200 0.2200661415 -1.215156755
## [196,] -0.521215600 2.642848193 0.738517847 0.4490453776 0.043968259
## [197,] 0.607865029 0.990739780 0.690047346 1.9810030789 -0.628817379
## [198,] -1.291605708 -0.787622292 -0.221818085 0.2529716802 1.328242705
## [199,] -1.051226094 1.105342946 -1.168295658 -0.0544443358 1.029439089
## [200,] 3.049655649 -2.730552238 1.201869965 -3.6041287571 -1.181460483
## [201,] -1.464700168 0.676740148 0.461339376 1.0602982676 -0.046264893
## [202,] -1.493422839 -1.415789249 0.241184125 -0.8103577693 -0.161899727
## [203,] 0.508442506 0.539205813 -2.066455776 0.7948061881 2.196709635
## [204,] 0.553542092 -1.314213338 1.085500527 1.6044330187 1.177093713
## [205,] -1.393643797 0.701025099 0.157018273 -0.6902431701 -0.271712983
## [206,] -1.269006440 -0.345983680 1.128477021 1.8021605504 0.878192624
## [207,] -1.666597493 -0.897277796 0.034401290 -0.1304623806 -0.715315063
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## [209,] -0.008667450 0.025044387 -2.382330806 0.0502543901 0.427064954
## [210,] -0.733884653 -1.073001545 0.817052301 1.0032343351 -0.007450741
## [211,] 0.608717580 -0.943132830 0.688260993 1.5849459747 1.268220928
## [212,] -0.062193723 0.357247042 1.069635017 -1.2617246597 -0.557444929
## [213,] 0.572044587 -0.490406239 0.654347667 -0.8256869220 0.692526386
## [214,] 0.982273549 2.294932448 -0.501762162 -0.3287288579 0.199051591
## [215,] 0.882623294 2.557226090 -0.696808473 1.5497699526 -2.303546590
## [216,] -2.117010028 0.353454518 0.227655627 1.1743237896 -2.042968246
## [217,] -0.256692316 0.049592924 0.434872059 0.2673499998 0.995586921
## [218,] -2.732321561 -0.337249667 1.159728774 0.1685290846 -0.543278599
## [219,] -1.846751940 -0.706287812 -0.569817532 1.1216985736 -0.452137868
## [220,] -1.043470353 -2.565738168 -0.623340441 -0.4766027752 -1.157213664
## [221,] -2.382000805 0.291127022 0.919740710 -0.2857477079 1.131646929
## [222,] 1.144857550 -1.186676459 -1.500924826 -0.3645461204 0.700232677
## [223,] -1.531959612 -0.320759806 -1.916593008 0.8711207223 0.334603634
## [224,] -1.845478412 0.806909386 0.251765663 -0.3512132315 -0.415363998
## [225,] -2.067526697 -1.918502697 -0.594222471 0.0369927925 0.276604713
## [226,] -2.418598931 -1.996005778 -0.015538742 0.9366134594 -0.099722305
## [227,] -0.822216458 1.464712002 -1.178019349 1.1732044943 0.274403710
## [228,] -0.870883801 1.030420889 -0.458348715 0.7574458845 1.919014248
## [229,] -0.576904708 1.755819050 -0.289082725 -0.2727532191 1.513137657
## [230,] -1.163941312 -3.194890535 1.084414059 1.6392711856 0.731848275
## [231,] 3.038055583 1.130922831 0.864625218 1.3594992601 -1.676120658
## [232,] 0.383520505 0.858421717 -2.594315676 0.9258005681 0.266152834
## [233,] -0.444997077 -0.517146338 -0.636940025 0.0139587715 1.221065144
## [234,] -0.956829210 -2.294508281 -0.378524270 -0.1317523401 0.425288475
## [235,] -1.807362784 -0.232467309 0.706604925 -0.2680408087 -2.256687892
## [236,] -2.378991971 -0.145698018 0.388001762 0.6406114412 0.434162345
## [237,] -2.274945670 -1.642597112 -0.454900502 1.1518200117 0.371777092
## [238,] -1.970890979 -0.033946735 0.439050414 0.8154459171 0.369535437
## [239,] 0.912621163 -0.248853102 3.608037871 0.7640046563 1.212842921
## [240,] 0.831456232 -0.080365135 1.536622050 1.0408366519 0.766783794
## [241,] -2.631392943 -0.592305729 -0.358257561 1.1236568688 -0.592218494
## [242,] 0.627074325 -0.101929617 0.079287476 -1.1067436215 -0.311565483
## [243,] -2.755005427 0.154565914 2.607045372 0.6722460396 -0.513183514
## [244,] -2.883203322 -0.199058770 0.313328402 0.8469611438 0.539746039
## [245,] -1.447274453 1.624769434 0.649773461 -1.0694759508 0.570091823
## [246,] -1.679519748 1.637183008 0.451251502 0.4875038236 0.948680863
## [247,] -1.112149620 0.197278162 -0.375900952 0.0264765903 0.511734434
## [248,] -1.013524437 1.982305770 -0.017446889 0.0901840170 -0.989460050
## [249,] -0.991118281 1.707325452 0.712634467 -1.0852335641 0.484986522
## [250,] 4.428265216 -0.732919739 2.005357954 1.2367665473 0.378068966
## [251,] -1.614350416 1.820060587 0.541908706 0.2578643124 0.622489888
## [252,] 0.880246262 -0.154326892 -1.288939063 -0.6640533241 -0.614869713
## [253,] -1.875303944 0.558706133 0.666350910 0.4836659003 1.253944191
## [254,] -0.714789462 0.305537553 -2.302561737 0.0681158907 0.299880353
## [255,] 2.334774276 2.704093075 0.339390019 -0.0318736422 -2.051359844
## [256,] 2.552811445 1.872739797 -0.574289652 -0.0561718904 1.138825302
## [257,] 1.944551322 -0.740777721 1.626755679 0.3714668369 0.578256279
## [258,] 1.445789756 0.472806518 -0.751851836 0.6841453858 -0.497782698
## [259,] 1.094230151 0.465482101 -1.851676556 0.0068573145 1.438641495
## [260,] 1.237333632 -0.034239281 -1.792583816 -0.8412041068 -0.353840739
## [261,] 2.529184930 -0.175083321 -0.156122271 -0.7878152268 0.639623097
## [262,] 2.569047517 -0.127111586 0.741166846 -0.3159627795 0.154380710
## [263,] 0.190814865 -0.374294931 -1.835094087 0.0581564364 0.443250458
## [264,] 0.790737539 -0.127953917 -1.619547830 0.8176314567 2.182852394
## [265,] 1.110053840 1.417747125 -1.371679594 2.0190129153 -1.114161144
## [266,] -1.119104859 1.351207556 0.607242070 0.2969278326 -0.936878128
## [267,] -1.357124742 0.549458308 0.028927390 -1.2954366968 -0.198829834
## [268,] 0.616068372 -0.174215049 -2.800934853 1.1595770959 1.074781143
## [269,] 1.310460566 -0.587947491 1.084535139 -2.2347725673 -2.067401408
## [270,] 0.458935894 2.690669078 -0.123515018 0.0176524780 0.623018435
## [271,] -0.996924504 1.641498550 1.470054123 0.2257874147 -0.425221416
## [272,] 2.140230215 -0.866617163 0.526516846 2.9046079230 0.480533450
## [273,] 4.457069978 -0.494403259 0.970378573 1.3817161350 0.952783388
## [274,] -0.666539959 -3.828176979 0.008926577 -0.4419553100 -0.670196079
## [275,] -1.541869231 0.869588692 -0.084186918 -0.8813222034 -0.387309668
## [276,] -0.143239703 0.569782309 0.319633597 -0.8466109700 1.524646148
## [277,] -0.501110874 -0.995595840 0.446656300 -0.4042375283 -1.617179350
## [278,] -0.107107881 1.617387833 -0.249359837 -0.0116262450 1.558446885
## [279,] -0.561078551 -0.226418683 -1.049244728 -0.8118788322 -1.075291787
## [280,] -1.396723892 1.240234353 2.002637315 0.1711781393 -0.576502455
## [281,] 0.646480535 -2.179516284 -0.408560794 -1.0570230599 -1.355562172
## [282,] -0.439698862 0.069669038 -1.982025106 0.1158479111 0.199222199
## [283,] 1.370494088 -1.194375689 0.857329955 -0.4201467581 -0.717264604
## [284,] 0.695394229 0.612509068 -0.558716802 -2.5018208369 -0.228437733
## [285,] 0.165762902 -0.881589866 0.203524594 0.4722527203 -0.262045118
## [286,] -0.147980407 0.335017480 0.107068200 -0.3587166242 1.902029257
## [287,] 0.734673295 -0.722542517 -0.367272623 -1.7800948595 -0.978268499
## [288,] 0.438006650 -0.202127137 -0.919653639 -1.2737697695 -1.013597139
## [289,] -0.829013043 1.474232758 0.034518910 -0.5734206544 1.214295370
## [290,] 2.833537970 0.386978912 -0.348320540 0.2418215081 -1.484241325
## [291,] 0.201216164 1.289391972 1.349836433 -0.8420173343 0.590690984
## [292,] 0.107365207 1.295411839 -1.226272207 -0.2884173406 -1.212943255
## [293,] 0.004486861 -0.112389812 -1.012442137 -0.7099291764 -0.582001723
## [294,] 3.839594442 1.222279205 -0.198441097 2.1012570498 -1.023695167
## [295,] 2.409949802 -0.932314848 -0.859022067 -3.2002040769 -0.977819197
## [296,] -0.129783177 0.152960930 -0.231536561 -0.1837164719 0.956447184
## [297,] 2.705561285 0.787382924 -2.004343029 0.7839861379 -0.339283631
## [298,] -0.122989304 -0.405698723 -1.500166688 -0.3288034971 0.034472035
## [299,] 2.486750398 0.034906840 2.997751969 -1.3772655827 0.081046474
## [300,] -1.263723371 2.157412326 0.064034677 -0.1572022738 0.813525634
## [301,] 0.247663844 0.013667682 1.203674645 -0.7798042892 -0.221452098
## [302,] -1.615147588 0.535827841 0.876844304 -1.1371862152 0.389131642
## [303,] 0.788147811 1.695184711 -0.051008219 0.2036491818 -0.860983167
## [304,] -0.145496013 0.598493755 -1.785937598 -0.1776136468 -0.707043834
## [305,] 0.374167504 0.044847437 -1.769197012 2.0288660749 -1.089885887
## [306,] 0.216686851 0.944572528 0.532783011 -0.4174388474 0.838779621
## [307,] -0.970090272 1.376763254 0.104374062 -0.1512884301 -1.166352898
## [308,] 1.011360802 2.869558263 0.264338584 1.2174866402 -1.139843699
## [309,] 0.335455960 0.024856944 -1.441289668 -0.6153653958 -0.759201034
## [310,] 0.779038416 -0.821471024 0.174741497 -0.6430344052 -0.553466284
## [311,] 1.239550895 -0.786244220 -0.409069421 0.0582451742 -0.306509720
## [312,] -0.619765407 1.626242412 0.511906751 -1.1845767570 0.251519696
## [313,] -1.085765196 0.637582815 -0.307456383 -0.3309066745 -0.164654272
## [314,] 1.252051299 0.094037041 -2.007748112 2.0059232209 -0.924944481
## [315,] 1.576130020 -0.792809607 -2.169803465 0.3703292871 1.024334510
## [316,] -1.724178861 0.030380919 0.348602751 0.1642768101 0.310757084
## [317,] 2.928234792 -1.598205619 -0.207195212 0.7868930206 0.382525260
## [318,] 2.337052664 0.703104332 -0.104162615 0.3716043467 0.023738448
## [319,] 1.186018770 0.548877227 -1.551560380 0.4491179466 -0.064874763
## [320,] 1.395664161 2.424887769 -0.863757415 0.4538659318 -0.714794890
## [321,] 0.570207924 1.334923877 -1.660732661 1.0042495179 -2.706682832
## [322,] 2.681061281 -1.882530282 -0.273926196 -1.7493576510 -0.065185282
## [323,] 3.124464720 -1.131762190 0.519984527 -1.3079166875 0.498012163
## [324,] 3.293343026 0.273184647 2.181847363 0.7496439633 1.181465945
## [325,] 2.483991926 0.720932692 -0.499030878 -0.3696884785 1.906892835
## [326,] 0.610662789 -1.254233726 -1.402942519 -1.5240174995 -0.328671759
## [327,] 0.249460741 -0.345003461 -1.243633875 -0.2830147377 -0.501703650
## [328,] 1.020133169 1.241771946 -1.503247274 0.0915155033 0.999858587
## [329,] 0.846768298 -0.423020032 0.108279770 -2.6045923410 -0.654027818
## [330,] 0.131310551 0.400038015 1.038631752 -0.3144548472 0.623358321
## [331,] 4.323580385 0.605692051 1.770771844 -1.1806992865 0.561695312
## [332,] 3.365603536 0.154891277 -1.819942040 2.6670670612 -0.899902402
## [333,] 1.081331546 0.004681426 -2.092878227 -0.9440441861 -0.436586881
## [334,] 1.392871180 -1.818817943 0.982450341 -1.0097886177 1.319980787
## [335,] 1.558711110 -0.382111499 -0.521409763 -1.8929124660 0.587896064
## [336,] 1.358820498 -0.545945989 -1.583989308 0.4267138366 -1.209471616
## [337,] -1.478176356 -0.616929828 0.060363292 0.1384875766 -0.891524413
## [338,] -0.560862141 -0.408870550 -1.897105946 0.9498247625 0.144589484
## [339,] 1.211323509 -1.119850406 -1.897823114 -0.0223389307 1.162433586
## [340,] 3.188982107 1.105228332 1.000570166 0.0007679735 -0.842271479
## [341,] 0.830613036 -1.263459430 -1.394502673 -1.3245321957 0.146065580
## [342,] 1.012927695 -0.590080592 -1.739806825 -1.0087809119 -0.232942309
## [343,] 2.020433744 -0.830024702 0.485250531 -0.6169646693 -1.334631364
## [344,] 2.407338547 -0.489757455 -1.979917073 -0.5188097185 -1.714147078
## [345,] 0.475127038 -1.091822277 0.175061155 -1.5952860434 -0.876547094
## [346,] -0.213785629 1.481297141 -0.415736130 0.0099163381 -0.524774464
## [347,] 1.558734780 -0.303984494 -1.232828715 -0.4576764899 1.794303841
## [348,] 4.227030922 -1.832555837 -1.310041659 -0.3330334531 -2.260706115
## [349,] 2.656334459 -0.604557584 2.530279940 -0.0367057694 -0.407716337
## [350,] 0.726024403 1.367212442 1.306451601 2.2402648580 -1.320656295
## [351,] 3.332928179 0.874275937 -0.510585761 0.3399928835 -2.038934419
## [352,] 2.627044602 -1.272799558 -1.203941524 -1.9604414989 -0.304264927
## [353,] 0.244983452 -0.934605240 -0.379501864 0.8160913161 0.413776054
## [354,] -1.188635994 2.057084690 0.932101492 1.0583907227 0.202784978
## [355,] 0.440089868 -2.159280045 -0.170489824 -1.2865705529 -0.040538327
## [356,] -2.380575687 0.419201239 1.131738939 0.9543133368 -1.017507257
## [357,] 2.481286327 -1.505938227 0.154523113 -1.1499600805 -0.671730892
## [358,] 0.590847610 1.481607533 -0.330456040 -0.3742661969 -2.410580886
## [359,] 0.859674835 0.224618937 0.723350292 0.1763710809 0.077060190
## [360,] 1.098708285 -0.706127765 -1.371610423 -0.2226073032 -0.121947205
## [361,] 0.304041016 0.149029540 -0.862073558 -1.1771298978 1.032792112
## [362,] 3.688052904 -1.228265340 0.766494002 0.4152925182 -0.656898289
## [363,] -1.093890375 0.841985018 -0.691385355 0.2802997225 0.704269853
## [364,] 1.162007947 2.689649882 0.399501888 -0.4276726951 -0.304687207
## [365,] 0.716305849 0.971723616 -1.246705978 0.2770922071 1.045908137
## [366,] 0.945557309 1.466964888 -0.499784306 -0.2881052136 -0.540326459
## [367,] 0.936810306 -0.684514330 -0.235109386 -0.3144352873 -1.036871060
## [368,] 0.756864170 -1.112961961 -1.648284296 -1.0845207097 0.485434329
## [369,] 1.187075542 2.668097591 0.489052606 -1.1730139425 -0.628933429
## [370,] -0.958304164 2.752712614 0.495701483 0.5697080804 0.163655330
## [371,] 0.338366666 0.027897223 -1.346380482 -0.6392921644 -0.629461351
## [372,] 0.436905369 0.034992092 -2.024434921 -0.8398901872 -0.453835346
## [373,] -1.600906161 0.439500356 -0.309497806 -0.1530583599 0.273120748
## [374,] -0.606678606 0.563762899 -0.695949729 -0.5870922848 0.042710090
## [375,] 1.522220793 0.493281237 1.575757643 -0.3221596865 0.898670752
## [376,] -0.616819649 2.090771144 -0.002750341 0.1634282876 -1.052879607
## [377,] 0.769372279 0.185398309 1.496890173 0.5312652762 2.164799768
## [378,] -2.022349370 -2.048334134 -0.647282107 0.2351810505 -0.864007269
## [379,] -0.332153197 -2.184156788 -1.556956308 -0.1086400088 -0.019133649
## [380,] 0.343466327 1.627814306 0.122741835 -1.1021161095 1.255753751
## [381,] 1.959969115 1.091149276 2.277542800 0.0993156207 0.288769651
## [382,] 1.096291828 0.709852675 1.593834506 1.4634066644 0.379694398
## [383,] 4.788824260 -2.333262072 0.261770086 0.8477663156 1.454304985
## [384,] 2.953241175 -2.121439076 -0.048298751 -1.6776988621 -0.295583119
## [385,] 3.953080801 0.629581988 -0.692826059 2.2779470993 -0.140338070
## [386,] 1.596020067 -1.408254495 -0.397428301 0.3803709652 0.623659964
## [387,] -0.507005542 -0.383314679 -1.171693175 0.1962431375 0.100157911
## [388,] 1.767976688 0.567885928 -0.798842893 -0.9987266776 1.927227401
## [389,] 0.037281413 1.333228592 -0.187101258 0.1533350331 0.996622262
## [390,] 0.842170869 -1.646721805 0.217442553 0.6300578900 0.660338087
## [391,] 0.843783436 -0.168018219 -1.345537209 -0.6969778068 1.664099633
## [392,] -1.934960875 -0.655726038 -0.236334786 0.1549388092 -0.779715764
## [393,] 3.069766792 1.309777123 1.029174181 1.3340146409 0.556567017
## [394,] -0.841372906 0.157761785 -0.470256792 0.4125445442 0.938588543
## [395,] -1.063573636 -0.644591049 -1.939569329 0.7850486027 0.738408862
## [396,] 0.049601141 1.167036501 -0.694321422 -0.4516498774 1.930135093
## [397,] -1.665456349 -0.584826567 -0.254078242 -0.2930498872 -0.840908819
## [398,] 4.322602450 0.166886465 1.222695814 2.7242358719 -2.617189037
## [399,] 1.398007661 1.378333503 -1.596237858 2.3364772965 -1.812826147
## [400,] 4.437649222 -0.715172615 2.322672413 0.0916621613 1.961233100
## [401,] -0.352878266 -0.053332793 -1.530184164 0.2519763169 -0.003789722
## [402,] 1.725305338 0.277819244 -1.963587571 1.1230063726 -1.497708718
## [403,] 1.092839134 -0.730026982 -2.009400660 -0.7412578824 0.053490599
## [404,] 0.394293776 -0.324842332 -1.227434010 -0.1590133079 0.065245168
## [405,] -1.893315001 0.302817887 0.585531405 -0.6345351052 -0.588600496
## [406,] 0.244260942 -0.696043389 -1.334559076 0.0117163162 0.077124435
## [407,] 0.262897634 -0.418087829 -1.817375556 -0.2277316974 0.412532867
## [408,] 1.370436207 2.004000370 2.828527245 0.6850675778 -1.894860722
## [409,] 2.106911367 -0.303486380 -1.800729820 0.2679496324 2.470940320
## [410,] -1.102330387 1.825938425 0.853051744 0.0897897746 0.550624146
## [411,] 0.436767359 0.197939844 -1.500376363 -0.3962817798 -0.748719710
## [412,] 0.343019654 -3.285459399 -0.777514563 -3.5747529463 -0.945401971
## [413,] 1.915190881 0.861268913 -0.885127958 -0.0738524494 -1.438051792
## [414,] 2.995598088 -1.413013541 -0.293167506 0.7759848475 0.748530703
## [415,] -0.908553129 0.516115029 1.427819246 0.1301188018 1.084103418
## [416,] 1.048686817 -0.921710601 1.508217286 -0.9148171595 0.411065938
## [417,] -1.182920861 -1.100238113 -0.845196570 0.4513984700 -0.056293673
## [418,] 0.732075729 -0.997386463 0.882639785 0.3266155714 0.166493471
## [419,] 0.896131733 2.221707870 -0.481093944 0.5771974081 1.251669129
## [420,] -0.016016455 0.229038019 -1.089130329 -1.1839138723 -1.288154789
## [421,] 1.985146731 -3.729851863 -0.253117659 0.6158646740 0.981599085
## [422,] 1.342184972 -1.668292784 -0.591287663 -0.9597336514 0.023963688
## [423,] 0.582869712 0.418757300 -1.049446695 0.4239897292 1.363661153
## [424,] 1.003746316 0.780749820 1.710634104 -1.1595026219 -1.645726037
## [425,] -0.170756689 1.691970101 -0.875365013 1.0116387732 0.331153693
## [426,] 0.003398704 1.701593215 1.212299410 -1.6990415811 -0.364411873
## [427,] -0.806248037 1.560178360 -0.259360815 -1.6125579143 -1.206386671
## [428,] 0.172106286 1.031908693 0.449529448 -2.7843021782 0.857899420
## [429,] -2.053476354 -1.086158635 0.169746310 -0.4682199706 -0.859306700
## [430,] -0.353274366 1.005053560 -0.099172790 -1.2810416473 -1.064037333
## [431,] -1.778921791 1.134956140 0.497739412 -0.2208653900 0.855793081
## [432,] 0.617449086 1.238819685 0.234010417 -2.3231879285 0.381322923
## [433,] 1.530034315 -0.880130910 -1.165285581 0.8824819929 0.741015766
## [434,] 3.178031465 1.327516037 0.703053352 -0.4508637112 -1.264028643
## [435,] 0.921401559 -0.062030640 -0.328461798 -2.0227796360 -1.665557598
## [436,] 0.645929806 -0.914372688 1.199267301 0.1029754553 -1.877362792
## [437,] -1.513291067 -0.355212540 -0.780134825 0.1040292921 -0.305390584
## [438,] 0.132122691 0.968554332 0.447934022 -1.1222260615 1.066793671
## [439,] 2.530822040 -1.328210092 2.453807714 1.4497896259 -0.719777583
## [440,] 0.562399002 -0.771907755 -1.636043491 -0.4974467350 0.435726024
## [441,] -1.123704946 0.914167912 -0.907350383 -0.7428138298 0.456574126
## [442,] 2.899339955 1.881053308 1.647439940 0.1868405321 -0.240266431
## [443,] 1.447296233 0.330944745 -0.643520028 -1.7617527688 0.200099994
## [444,] 1.327063713 3.277391288 0.226312339 0.6305047930 -2.051998103
## [445,] 2.165907466 1.471900731 -1.152179873 0.8332512985 -3.232748620
## [446,] 1.044641541 -0.377937506 -1.133829343 0.0870661914 2.106583484
## [447,] 1.202873706 1.369949600 -0.924422395 0.4426866404 -1.512590931
## [448,] 1.490951035 -0.713930296 -0.229577109 0.1131247335 -0.120979459
## [449,] -0.108700619 1.153946123 -0.854321204 2.1021474792 -2.731210916
## [450,] 1.683964972 -0.790327268 -1.018476004 0.6174797579 1.381411502
## [451,] 1.931366277 -1.603163544 -0.194502178 0.4727238386 -0.372779576
## [452,] -1.473569098 -0.574590854 0.568281023 -1.4621299079 -0.394542593
## [453,] 1.364876540 -1.051197480 -1.313240037 -0.6750350200 0.361159982
## [454,] -0.565196904 0.195531217 0.059636248 -0.5501112574 0.687421400
## [455,] 3.459769850 1.540421738 -0.459525432 1.8118430737 -1.291603261
## [456,] -0.059530828 1.410558792 0.112923574 0.3642406234 1.613344373
## [457,] 3.684124970 0.464497623 -1.418638368 2.3096513296 -2.025080103
## [458,] 0.477071264 0.259333050 -0.305277326 -0.0280787157 0.864942351
## [459,] 0.867484119 0.725284009 0.270935732 -1.5659574126 -1.223191126
## [460,] 2.690776727 -1.740553145 1.266296499 0.6130126752 2.096372206
## [461,] 1.651209677 2.187579030 0.232289043 -0.7326918256 0.119217751
## [462,] -0.418698730 -1.058785873 -0.393032386 -1.1235719545 1.611701713
## [463,] 2.515538347 2.389344930 1.410061259 -0.4066371001 -0.543073043
## [464,] 2.432114603 -0.914542482 0.735798241 -2.1133464616 -1.539036638
## [465,] 0.415237535 0.090824792 -1.273294668 0.3443790249 1.664137835
## [466,] 1.793212788 -0.795405753 -1.133471047 1.6752513367 -1.166238827
## [467,] 0.328231726 0.457981356 -0.276875308 -0.6812398001 0.567589940
## [468,] 1.331171631 -0.531351049 -1.150398712 -0.8329382166 1.655556049
## [469,] 2.697729195 -1.480153820 -1.199178400 -1.5980817521 0.373390658
## [470,] 0.523474164 -0.771320855 -1.904139818 0.1347213290 -0.016220399
## [471,] -0.214088712 2.025456501 0.821672818 -0.2662549567 0.312873989
## [472,] -0.450705924 -0.850755818 -0.949864966 -0.6693009064 -0.147526594
## [473,] 0.096310378 1.512768053 0.367931078 -1.1259075609 -1.775342818
## [474,] 0.803328451 -0.746689199 -0.569667428 -1.3011508030 -0.782782431
## [475,] 0.892743466 -0.438305982 -0.047196957 -1.4950940245 -0.046492162
## [476,] 0.356060813 0.492043653 -0.692537974 -1.3639765858 0.441310129
## [477,] 1.045887851 0.916963816 -1.063866425 0.4360234775 0.968385204
## [478,] 1.635114048 -0.769897410 -0.032617289 -1.3337104375 1.172894152
## [479,] 3.384171406 -3.748637982 2.117821826 0.4816992405 1.331831889
## [480,] -1.291011741 -0.113779752 -1.823243054 1.0629823077 0.027644080
## [481,] 3.533787560 0.724417347 -0.959931323 -0.2528729747 0.724664191
## [482,] 2.879625120 -0.654049208 -1.121197954 1.0800265997 -1.452424120
## [483,] -0.850903456 1.623654034 0.569517802 -0.9830378604 0.607818682
## [484,] -1.318214773 1.976303610 0.201731755 -0.2684015238 0.790390412
## [485,] 0.361009385 1.032882869 0.362646310 -0.8526734757 -1.222651324
## [486,] 2.419910959 -0.467962508 1.361856102 -1.6957131333 -0.239946023
## [487,] 0.848012547 1.207791455 0.136793317 -0.8840868077 -1.140291698
## [488,] 1.928009671 -0.712802251 -0.191821919 -2.1249145430 -1.303625077
## [489,] -0.563124316 0.759359402 0.919304979 -0.2326071543 -1.847350616
## [490,] 2.466669285 0.285668989 2.023340128 -2.3178875429 -0.081514443
## [491,] 1.689760534 -0.628515953 -0.764243010 0.8730984386 -1.825410930
## [492,] 1.383002288 -1.564340592 -0.707637680 -0.6349852108 0.570465104
## [493,] 2.310823507 2.213590654 -0.443856900 2.3661973991 -1.968676178
## [494,] -1.017633122 -0.695649989 -1.620639147 0.6159374994 0.445560536
## [495,] 0.534075967 2.353280633 0.166100274 -0.8657380323 -0.073079626
## [496,] 1.802404767 0.654498938 0.111833817 -2.6905861996 1.041598372
## [497,] -1.519954938 -0.766225511 0.756402636 -0.6577659353 0.338747875
## [498,] 1.835909217 0.435831380 -0.363222262 -0.4702983539 2.853131913
## [499,] 3.899033820 -0.105524086 -0.423141495 -0.5554354590 -1.196637653
## PC6 PC7 PC8 PC9 PC10
## [1,] -0.699052021 1.205930605 -0.0112821754 -0.951136304 0.06884376
## [2,] 1.082562585 0.297104939 0.6541236384 1.460367449 -1.97080227
## [3,] -0.273591462 0.706550772 0.5522400135 -1.108877105 0.39950143
## [4,] -0.091488613 0.204189735 -0.1390066316 -0.553897184 -1.06358860
## [5,] -0.007442173 0.174931051 -0.0237622262 0.877005786 -0.34335305
## [6,] 3.244907401 -0.956404400 0.8394687744 -1.120187755 -0.32854440
## [7,] -1.550747818 -4.296760367 0.1147087503 0.076308038 0.11264444
## [8,] 0.666348146 -0.343728103 1.6297411962 1.731932503 0.91501294
## [9,] -0.215335983 0.994814738 -0.5639298659 0.873987844 0.30262761
## [10,] 0.608329214 -0.238916354 1.9414432948 1.427041982 0.87908444
## [11,] 0.065805170 -0.336648210 -0.4890413812 -0.855734412 0.40248378
## [12,] 0.427104111 0.796995802 0.4298004120 0.055732905 0.81961391
## [13,] -0.044086746 0.558356617 -0.3732863063 -0.776472862 -0.05733289
## [14,] 0.045098985 -0.228437811 -0.9781711635 0.501169299 1.05301116
## [15,] 0.073182344 -0.369727664 -0.0365622457 0.934173150 0.04313794
## [16,] -0.245709946 -0.140319533 1.1591227162 0.374507056 -0.30153308
## [17,] -0.398797991 0.456883852 -0.0858875841 0.083961779 0.38131272
## [18,] 0.512602171 0.170704594 -0.0004955918 0.382520522 -0.01634302
## [19,] -0.429100961 0.929421523 0.4311767789 -0.262220124 -0.18283428
## [20,] 2.934298370 -1.140215819 1.8245005868 -2.118076190 -0.79384875
## [21,] -0.193753824 0.885351512 0.1195846944 0.061072293 0.06754989
## [22,] -0.895024244 0.381810079 0.5727846693 -0.679855018 -0.66328922
## [23,] -2.332978115 -3.158205607 -0.2097473786 -0.050156122 -0.15708257
## [24,] -0.248521806 0.019556817 0.0220025225 0.172054144 0.88183175
## [25,] -1.221930984 0.456989018 0.8083529279 -0.422045123 0.83528632
## [26,] 0.140292221 0.486681874 0.2754509861 -0.204752557 0.95304256
## [27,] -0.378650307 0.339508132 1.2955598553 -0.313935066 -1.85433762
## [28,] -0.710987617 0.138867438 0.8465962503 -0.021305526 -0.09182902
## [29,] -0.232745626 0.528906392 -0.8394357690 0.706465171 0.70851161
## [30,] 0.102810244 0.103883085 -0.8853212496 1.421099551 -0.05023004
## [31,] -0.367959544 0.779177212 -1.0893717634 0.004956317 -1.17931716
## [32,] 0.316237226 0.135287421 -0.0233081338 1.484937863 0.07933644
## [33,] 0.195064195 0.285065150 1.1065987573 0.192843403 1.41957724
## [34,] -0.262124642 0.589675732 1.9197772901 1.012744676 0.59398886
## [35,] 0.854338132 -0.303084250 -0.9429483833 -0.790164455 0.92326005
## [36,] -0.163802839 0.609802385 -0.2978892856 -0.535930757 0.36602658
## [37,] 0.474834266 0.893881407 1.4492960692 0.496353661 0.70035301
## [38,] 0.597975512 0.183755412 -0.4719943581 1.076315718 0.27870682
## [39,] 0.628780277 0.061877295 0.0614908993 0.983530968 0.47137835
## [40,] 0.455987337 -0.069377375 0.4566972984 0.145628520 0.15302947
## [41,] -2.401157431 -3.405450039 -0.2641392637 0.151975123 0.18202014
## [42,] 0.124897284 0.736181286 0.2148846221 -0.237101343 0.60965752
## [43,] 1.003456909 -0.260883392 -0.8876550983 1.932669232 0.30232297
## [44,] 0.572397309 -0.462048509 -0.8924644942 0.897160414 0.37094486
## [45,] -0.664944681 0.646712327 -0.6835020240 -0.771133473 -0.80939690
## [46,] -0.025000137 0.656027364 1.7755469741 1.599833587 -0.37632343
## [47,] 0.220362772 0.249164759 0.5277998722 0.886763600 -0.28029578
## [48,] -0.231503331 0.442300608 0.0874378558 0.013051333 0.44469128
## [49,] 0.294917365 0.600615469 0.3904403120 0.472420116 1.18055118
## [50,] -0.490123612 0.423647696 0.3106337588 -1.648997113 -0.50053903
## [51,] -0.945079803 -0.010679160 -0.2680787381 -0.920346342 -0.22943167
## [52,] -0.331716718 0.826981843 0.3155416197 0.106580273 0.02221850
## [53,] 0.724121906 -0.321829523 -1.4179277915 -0.606651298 0.94510976
## [54,] -0.205244417 0.924439103 -0.5422654654 0.525508203 0.21745043
## [55,] -0.316470297 0.899313855 0.0375093262 -0.412598954 -0.15848762
## [56,] 0.337817971 0.658747909 1.4698551378 -0.105944120 0.54805769
## [57,] 0.005083927 1.016052971 -0.0275815412 1.601268123 0.43762819
## [58,] -0.126085535 -0.339387997 0.0572755296 -0.018378090 -0.78099884
## [59,] -1.750021903 -3.566455373 -0.4222275966 0.981420346 -0.63309884
## [60,] -0.448278433 0.487577680 0.7825541849 -0.231934682 -0.40171128
## [61,] -0.476289763 1.126904100 0.5685807044 -0.266531683 -0.38169677
## [62,] -0.847045338 -0.377213554 0.7365870213 -0.072107592 0.33278925
## [63,] 0.103567603 0.248548055 -0.5802496377 -1.038060566 -0.19541383
## [64,] 0.070147818 1.004103003 -0.4020743037 -0.878324091 0.23016305
## [65,] 0.346264540 0.859003406 0.0648260109 0.403369456 0.93547567
## [66,] 0.183014510 0.747342981 -0.2190694962 1.853006634 -0.78820813
## [67,] 0.548760306 -0.243250039 -0.9531461489 0.477545411 -0.07258834
## [68,] 0.895810117 0.100445927 -1.6259748346 -0.588899037 0.63173115
## [69,] -0.716112116 0.288303944 -0.7067651418 -0.433686160 -0.15042372
## [70,] -0.036679415 0.783144781 -1.4017395018 1.276902148 0.65504750
## [71,] 0.156454001 0.927351018 0.4100405808 0.084712269 0.83222838
## [72,] 0.320961935 0.711165382 1.0878181477 1.429398874 -0.69047327
## [73,] -0.416457514 0.614165612 1.3736448800 -0.762154159 -0.62207341
## [74,] 0.318772435 0.288581097 0.5863189890 -0.115074344 1.15157060
## [75,] -0.688708718 -0.080449413 0.6460576606 -0.327039536 0.56588720
## [76,] -0.266916061 -0.454186096 -0.6500777211 0.305421931 -0.78894545
## [77,] 0.168956917 0.371426277 0.2721816920 0.872021022 -0.35477613
## [78,] 0.209116118 0.283155150 -0.3388759265 0.243004235 1.23714713
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## [141,] -0.446036883 0.944688192 -0.1359479060 -1.659729200 1.66066118
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## [143,] 3.665052942 -2.219994186 0.5680045868 -1.619133174 -0.97985105
## [144,] 0.079296724 -0.279771802 2.4532274658 0.419557401 0.31653974
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## [146,] 3.193879467 -0.676548122 0.3274859166 -1.167355872 -0.84617949
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## [149,] 0.951500791 -0.670737394 -0.9335048718 -0.474440722 1.44697926
## [150,] -1.544522634 -3.153324017 -0.0694851449 0.719706086 0.91227088
## [151,] 0.372652933 0.245673567 -0.3938316669 -1.486423617 0.20714136
## [152,] 0.067028133 0.478203293 0.6405785470 -0.673249474 1.66035028
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## [159,] 0.313353528 0.230545642 0.1286922314 0.087913371 1.12283373
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## [164,] -3.198607561 -3.328513860 0.6456042964 -0.231422753 -0.07941168
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## [166,] 0.264260379 0.814993693 -0.4435757142 0.616030190 0.94822029
## [167,] 0.001701041 0.721856260 0.5132395854 -0.616813263 0.42030491
## [168,] 0.055826570 0.274268367 1.2635446770 1.171746387 0.86322015
## [169,] 4.539948498 -2.213387659 1.7496211033 -1.495626108 2.58210688
## [170,] -0.456606963 0.957932005 -0.0422074698 0.151852194 -0.05518848
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## [172,] -0.022316285 0.319514107 0.8037424413 -0.374427631 0.13794314
## [173,] -0.487832575 0.680548888 -1.0185531729 -0.257497878 -0.55670168
## [174,] 0.172889305 0.674740076 0.3883187480 -0.502020901 0.56556822
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## [176,] -0.555424079 0.390116563 -0.0507865580 -0.280521057 0.21217400
## [177,] 0.724604431 0.242154958 -0.6028677287 1.119832288 0.50705449
## [178,] -0.680476057 0.306343388 -1.8107787304 0.104735718 -0.06043354
## [179,] -0.558936192 0.112573697 -0.3305435072 -0.606803644 -0.09200963
## [180,] -0.184142014 0.681125831 -0.3560816632 1.034863784 0.79989796
## [181,] 1.349066700 0.945147183 0.4296553872 1.161419126 -0.39295144
## [182,] 0.166935632 0.283334313 0.1979086296 1.185512843 -0.14156697
## [183,] -0.327598297 0.345920421 -1.0229815706 0.253171869 -1.44689242
## [184,] -0.052749143 0.479014011 -0.5821915000 -0.773310663 -1.23338214
## [185,] 3.122986721 -1.642425163 1.6640330915 -1.862040401 0.15451290
## [186,] 1.137261007 -0.225778809 0.7779502861 1.706244974 -0.51177203
## [187,] 2.890004510 -1.295203904 0.4961728598 -0.768420922 -0.17186360
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## [189,] -2.123590672 -3.538003734 -0.3638063727 0.234560770 0.40783853
## [190,] -0.509370523 0.523230988 1.6882257551 0.170558598 0.25556506
## [191,] 0.295139476 0.277635973 -0.0720742122 0.209281181 -0.04675840
## [192,] 1.184978055 0.497508667 -0.8796058549 1.054275064 0.27824527
## [193,] 0.393663159 -0.059164449 -2.1717411259 1.152686551 -0.13597825
## [194,] -0.451381226 0.449889107 -1.3286468362 -0.007551250 -0.85984348
## [195,] 2.858488189 -0.602247736 0.4226836705 -1.414364471 -0.99024445
## [196,] 0.703216638 0.262032686 -0.7711637173 -0.957223412 0.34547173
## [197,] -1.869828833 -4.363941682 -1.0278131055 -0.451390261 0.62295477
## [198,] 0.153805472 -0.235925974 -0.0507245774 1.375816913 0.30531671
## [199,] -0.318564003 -0.229794434 -0.5163865554 -0.301951703 -1.18352789
## [200,] -0.913139601 0.773718358 -1.4700206969 1.702256217 1.20539577
## [201,] 0.754019568 0.614219034 -1.2337441022 0.462986417 0.74280789
## [202,] 0.912105531 0.188092699 1.1119029257 1.515112077 1.84583866
## [203,] -0.439256986 -0.991878943 0.5262571601 -0.364986601 -0.51460253
## [204,] 0.251715770 0.942300237 0.6303358867 0.511651358 -0.96832563
## [205,] -0.097522841 0.567132450 -0.7170204523 -1.004355864 -0.15736041
## [206,] -0.126989144 1.136742064 -0.2645825709 -0.078407817 -1.40319020
## [207,] -0.445810295 1.016004064 -0.7228782473 0.157881908 -0.06992481
## [208,] 0.198349051 0.541076559 0.3139118633 -0.366405274 0.70967321
## [209,] -0.801880252 -0.107377539 -0.2641633772 -0.991074095 -0.35701848
## [210,] -0.491190393 1.510995199 -1.7665138505 -1.430029207 -1.34354396
## [211,] -0.664445258 0.777411245 0.2227613979 0.031044300 -0.77620201
## [212,] -0.754701403 0.494424297 -0.3063759799 -0.966732362 0.38376219
## [213,] -0.556737539 0.192371420 -1.1351336449 0.543016215 -0.91505903
## [214,] 1.075659965 -0.217744609 0.1321912697 -0.233433656 0.79586607
## [215,] 1.142407284 0.566911920 -1.2627215174 -0.028539310 0.25104849
## [216,] -2.663709738 -3.394564883 -0.6878297502 -0.991298666 -1.01410081
## [217,] -0.315595229 0.395072981 -1.0641755569 -0.212772613 -1.47138954
## [218,] 0.204666065 0.902086577 0.3766182640 0.113859846 0.82312330
## [219,] -0.531156624 0.878851089 0.5949696075 -0.182049564 -0.16242824
## [220,] 3.130652866 -1.262397601 1.7737314709 -0.975098031 -0.42059827
## [221,] 0.810137661 -0.047954306 -0.0631396152 1.147487048 0.67824959
## [222,] -0.856077990 -0.439962863 -0.1512332878 -0.222014770 0.50753929
## [223,] -0.443494850 0.192971364 0.3867724742 -0.413178545 0.33269460
## [224,] -0.096700820 0.609395393 -0.2635967585 -1.033398493 -0.20150079
## [225,] 0.085216388 0.120160668 -0.3481496526 1.050172575 1.30366569
## [226,] -0.003395501 0.624354859 0.2957210304 0.868921188 0.76165942
## [227,] 0.746465884 -0.176754988 0.0656346244 -1.191349246 2.64938169
## [228,] 0.322702698 -0.539943351 1.1535415169 0.099110041 0.50674267
## [229,] 0.094902965 -0.590296712 0.2262581515 -0.535235358 -0.30396851
## [230,] 0.199055953 1.223182561 -1.0813922357 0.438443318 0.42177320
## [231,] 4.741518369 -1.329556476 0.2164432601 -1.094678608 -1.31479007
## [232,] 0.035999529 -0.380375928 -0.9438550919 -1.455842076 1.43777487
## [233,] -0.107298813 -0.124460582 -0.1973398965 1.157184775 -0.09702019
## [234,] -0.116250736 -0.071033155 -0.1258509748 1.221071541 1.53859297
## [235,] -2.551373534 -3.441135380 -1.8359016067 -0.207849832 -0.56042107
## [236,] 0.057068871 0.554868749 0.0069710899 0.937640417 -0.65721474
## [237,] -0.006994045 0.353861265 0.2841681186 0.397352130 0.89172979
## [238,] -0.124362402 0.618450296 0.2818669888 0.748271675 -0.84425630
## [239,] -0.330681364 1.126596143 -0.7934911491 -1.080018451 -0.91601475
## [240,] 0.623265762 0.856277351 -2.9903478816 -0.563133642 -0.11425571
## [241,] -0.380306602 0.957165741 0.4694681240 -0.165584639 -0.14038080
## [242,] 0.012643852 0.016050422 1.2382385500 -0.079476189 0.60191834
## [243,] -1.187751169 -3.953796035 -0.3528755066 1.314289560 0.54025879
## [244,] 0.218014125 0.524217929 0.0320253139 0.977856399 -0.55372969
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## [247,] -0.003686698 -0.141878604 0.3938808642 -0.748466455 0.67541817
## [248,] 0.483122972 0.543119358 -1.1084752971 -1.610062396 1.19557112
## [249,] 0.060352871 0.144641200 -0.6007739460 -0.189811194 -0.90945798
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## [251,] 0.080533135 0.349304253 0.6606895993 -0.216592545 -0.53626581
## [252,] -0.742881236 0.082246213 1.1530941106 -0.380010483 -0.32028092
## [253,] 0.554230616 -0.017203620 0.6986679766 0.649629210 0.36413859
## [254,] -0.704946094 -0.048574423 -0.3529686751 -1.108532844 -0.39831365
## [255,] 1.750635266 0.229575505 -0.8538124732 1.869605759 -0.17586407
## [256,] 0.848030601 -1.147790044 1.1277635318 -0.244346019 1.81181993
## [257,] -0.610366335 0.632810366 0.7062332737 -0.094850654 -1.21768105
## [258,] 0.346198628 -0.061102902 -1.1568221763 2.161911812 -1.64900600
## [259,] -0.176665712 -0.906132622 1.5341108556 0.249773812 -0.46703576
## [260,] -0.818267969 -0.110372358 0.9974356761 -0.529666082 -0.15639951
## [261,] -0.929775212 -0.269852414 1.2165521864 0.292312616 -0.45641795
## [262,] -1.171640537 0.120456906 1.8053595197 0.093278623 -0.86707528
## [263,] -0.808824500 -0.184279810 -0.0540873071 -0.744362908 -0.07847939
## [264,] -0.389734177 -0.921199352 0.5796711088 0.067791265 -0.36577658
## [265,] 1.846341384 -0.106861540 -0.4561713834 2.016677243 -0.15570991
## [266,] 0.638732626 0.730688763 -1.2808285632 -1.357004501 1.29116829
## [267,] -0.034195907 0.164999727 -0.7406659309 -0.554031057 0.40342793
## [268,] 0.340345399 -0.902886347 -0.3753788087 -0.430822294 3.04814229
## [269,] -1.325627662 1.155763880 -0.1629627456 -0.178350487 -0.57814804
## [270,] 0.639477014 -0.291944967 -0.9313064216 -0.964304113 0.75643238
## [271,] -1.895165390 -4.283800689 -0.5589619752 -0.228176328 -0.65378529
## [272,] 0.556851408 0.862113680 -1.2610287759 1.709141135 -1.59863598
## [273,] -0.267432277 -0.140429909 0.9465039928 -0.450651456 1.11632314
## [274,] 2.879348864 -1.071708009 0.1643912987 -0.563374756 -0.28685966
## [275,] -0.126384839 0.431920082 -0.5245662042 -0.883291924 -0.05974280
## [276,] 0.293155651 -0.592705559 -0.2433551322 0.438282716 0.15848536
## [277,] -0.596095153 1.154401296 1.2579689707 0.555246079 -0.04575167
## [278,] -0.027564828 -0.561686365 0.5397357185 -0.578804897 -0.38694865
## [279,] -0.382089055 0.560777759 0.4751977021 -0.083458286 -0.61878459
## [280,] -1.743586919 -4.162550664 -0.6693408550 0.124430979 -0.52536538
## [281,] 2.563640517 -1.262240977 1.3335664629 -1.798913026 -1.38261558
## [282,] -0.773424134 0.045797514 -0.2264526781 -0.992766046 -0.43778086
## [283,] -1.599929348 0.851622909 -0.2481946216 -0.746839528 -0.32915879
## [284,] -0.211069876 0.040037477 -0.7271278369 0.987949851 -1.19935104
## [285,] -1.013502075 1.088872193 -0.8243345488 -1.184811266 -0.93697664
## [286,] 0.339173564 -0.753088783 0.4974798584 0.813295648 1.10666429
## [287,] -0.576681093 0.246768860 0.0990151568 0.293318232 -0.03274139
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## [345,] 2.924880643 -1.179972642 0.5779573075 -1.024058348 -2.71305440
## [346,] 0.521481232 0.342509491 -1.3175596072 -1.401830508 1.44928660
## [347,] -0.478797320 -0.635902341 -0.6947309945 0.369286168 -0.59206868
## [348,] 4.191668900 -1.758839680 -1.4157765736 -0.037423331 0.30209184
## [349,] -0.877130149 1.150517877 1.0520163248 -1.554551114 -0.10571081
## [350,] -1.057794001 -4.381132383 -0.4124466217 1.628375250 -0.99676211
## [351,] 1.361627169 -0.099129724 -0.2628123894 1.406914932 1.72062305
## [352,] -0.781782558 -0.124393327 0.0493444746 0.432678639 0.24670970
## [353,] -0.701691963 0.767645419 -0.9650165545 -1.253780651 -0.84054213
## [354,] 0.908921860 0.405819076 -0.2073563526 -0.341338543 1.24664862
## [355,] 3.361319687 -1.505430296 0.7474926006 -0.050540767 -1.31311141
## [356,] -2.041985720 -3.643735253 -0.7871184479 0.763162478 -0.80127697
## [357,] -1.215518006 0.346867143 0.8298384816 -0.042294798 0.29968940
## [358,] 0.824030835 0.380824437 0.2776521272 1.257998484 -0.62173381
## [359,] -1.023194931 0.526969649 0.5925519129 -1.708463577 0.18708936
## [360,] -0.622531741 -0.216499303 1.5757666207 -0.154092214 0.14144615
## [361,] -0.358433159 -0.336221679 -1.2373214916 0.561819517 -0.80607987
## [362,] 0.286952937 0.040366423 0.5476656205 3.353424861 -0.08405959
## [363,] -0.366277742 0.162288247 -0.3221507337 -0.210310231 -1.53859148
## [364,] 0.754140748 -0.043924780 0.4644317256 -0.528728865 0.57691402
## [365,] 0.458886715 -0.622539394 -1.4667976991 -0.077513885 0.92498666
## [366,] 0.127686804 0.266958072 -1.1696535634 -1.508519269 1.50203129
## [367,] -0.975875689 0.608463333 1.3980889408 -0.354895285 -0.44090395
## [368,] -0.691514569 -0.331583096 -0.9766159255 0.025548793 0.43574884
## [369,] 0.777325736 0.143714926 -0.2560151018 -0.276607777 0.42775542
## [370,] 0.839473565 0.191005429 -0.8011119969 -0.999069126 0.40195075
## [371,] -0.635777957 0.078333911 1.0645791357 -0.448305514 -0.29996816
## [372,] -0.544336595 0.032851519 0.6684124646 -0.388189210 -0.35017052
## [373,] 0.024183537 0.036980837 0.4916594578 -0.410887878 1.19627789
## [374,] 0.003485487 0.266491974 0.8226438696 0.986155398 -0.74288771
## [375,] 0.076232955 0.153437376 1.0771830042 -0.148707335 -0.52105562
## [376,] 0.330919236 0.585836003 -0.9252780873 -1.747569159 1.02486614
## [377,] 0.284167922 0.239214829 -1.1383073255 -0.813612049 -0.72063429
## [378,] 2.781141942 -0.996956143 0.6064592025 -1.831005798 -0.95010600
## [379,] 2.633297996 -1.699052969 0.1749884880 -2.298011735 -1.11606392
## [380,] -0.198933980 -0.528849124 -0.2067306783 -0.416450529 -0.22936189
## [381,] 1.119789361 0.776487949 -1.2503075040 -0.629612342 0.30657099
## [382,] 0.123221300 1.245468037 -2.5723258673 -1.451778946 -0.76264767
## [383,] -0.360710452 -0.144773046 -2.0950025548 -1.029651367 2.37633176
## [384,] -0.820688488 0.249760800 -0.1630684451 0.519222264 0.34559830
## [385,] 0.496355033 -0.514126199 -0.7553130283 1.315428220 0.60420900
## [386,] -1.049333789 0.371669732 -0.6040599529 -0.968356913 -0.21100448
## [387,] -0.741743143 0.059354879 0.0216244140 -0.698583092 -0.17839621
## [388,] 0.395774142 -1.356188701 1.6037532687 0.631806744 0.76792979
## [389,] 0.339777713 -0.347411600 2.4726969740 0.341414318 0.24231733
## [390,] -0.597366017 0.970734624 -1.8028337806 -1.118239575 -0.77638695
## [391,] -0.335746271 -0.736705684 -0.7409662873 0.569054154 -0.40943009
## [392,] -0.500279818 0.921955105 -0.1554863456 0.092504899 -0.07675284
## [393,] 0.122923687 -0.213241110 2.7098599986 -0.430258600 2.07097039
## [394,] -0.290229955 0.070225548 0.1918427870 0.578119722 -0.48753317
## [395,] -0.387978471 -0.058583159 0.2421617687 -0.315892379 0.69378183
## [396,] 0.199738322 -0.838112211 0.0407481966 -0.130080430 0.04758408
## [397,] -0.576800222 0.886544600 -0.4603054967 0.115874596 -0.02654473
## [398,] 0.183366774 1.725875496 -0.8211463116 -0.435498233 -0.60594407
## [399,] 0.778417781 0.562359604 -1.9619296639 -0.055187290 -0.17310789
## [400,] -0.442621601 -0.005953921 1.0132426383 -0.602038936 0.07178672
## [401,] -0.857192800 0.211117551 -0.0252394735 -0.963451156 -0.55974512
## [402,] 1.089708674 -0.180731743 -2.2386944677 1.397703790 1.06865674
## [403,] -0.513862120 -0.298379041 0.8749809671 -0.036823405 0.27948369
## [404,] -1.008510227 0.029210042 -0.0662848874 -0.792704016 -0.22818007
## [405,] -0.009789551 0.760943851 -0.1486105743 -0.152377354 0.57020545
## [406,] -0.836052221 0.174872143 -0.1598016083 -0.503568676 -0.34998647
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## [409,] -0.642408114 -1.271393912 0.4793348092 0.129021082 0.00864990
## [410,] -0.121635347 0.306594486 0.3826322147 -0.710138415 -1.13736479
## [411,] -0.755766824 0.291337924 1.1644164409 -0.682973859 -0.65064762
## [412,] 2.873991942 -1.452321017 -2.6719563186 -0.432878644 -0.74538297
## [413,] 0.555489220 0.201224849 -0.2462561666 2.506361808 -2.05805369
## [414,] -1.724690725 0.153673390 0.5468770515 -1.400266281 0.09499478
## [415,] 0.385055498 0.630416358 -0.5510937708 0.181331425 -0.36965104
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## [417,] -0.457180800 0.442290318 0.1911841203 0.223479633 0.42328312
## [418,] -0.132964814 0.817084369 1.1112663957 1.250054785 -0.87196979
## [419,] 0.710958261 -0.664684754 -0.3966598722 -0.860433991 1.19553564
## [420,] -0.650792148 0.598655561 0.3732704649 -0.366108957 -0.86878455
## [421,] 2.624039316 -1.274953726 -0.8298510389 -2.632167019 -1.26280111
## [422,] -0.246758479 0.237061352 -0.3332948353 0.256445947 0.09498334
## [423,] -0.767067298 -0.254329770 0.1239072111 -0.404761384 -0.97267732
## [424,] -0.980589450 1.158704521 1.2668814452 -1.289844811 -0.41094930
## [425,] 0.308811256 0.137768895 -1.1856437807 -0.736527696 -0.12147038
## [426,] 0.022846455 0.345430872 0.6858750503 0.107999471 -0.90059754
## [427,] -0.089626143 0.502335678 0.6297819108 -0.853389930 -0.32715442
## [428,] 0.152622304 -0.419930050 -1.7957096311 0.645904234 -0.02325321
## [429,] -0.408067381 0.925147226 -0.7250379746 0.500221747 0.30994476
## [430,] -0.099214592 0.515486361 0.9451449603 -0.617236590 -0.24273053
## [431,] 0.405498892 0.174616896 0.0880193831 0.450815554 -0.03665578
## [432,] 0.353099336 -0.334650257 0.1905461554 0.720305798 -0.25808485
## [433,] -1.163496864 0.167083207 0.1535673875 -1.297846357 -0.33379314
## [434,] -0.439543142 0.304690353 1.1129930007 -1.595343342 1.79572280
## [435,] -0.886079790 0.799881668 -0.1690177131 -0.118989492 -0.93617369
## [436,] -1.323805941 1.467581078 2.0537592855 -0.134098485 -0.24686327
## [437,] -0.549642802 0.402449547 -0.3361073676 -0.557090733 -0.38838864
## [438,] 0.055459868 -0.273582377 -0.4275376060 0.206083099 -0.36533272
## [439,] -0.697507478 1.711127147 -2.0364477145 -1.807645949 0.54204188
## [440,] -0.810434615 -0.226350902 -0.4735737202 -0.395841528 0.19001608
## [441,] -0.066153332 -0.297931187 -0.2227371446 -1.016862477 0.63036262
## [442,] -0.019878982 0.083412498 1.5133598265 -0.854816608 1.02995402
## [443,] -0.379401087 -0.181140905 0.1155466053 0.824139936 -0.99979219
## [444,] 1.783772803 0.302164339 -0.4773764193 1.317067729 -0.30570575
## [445,] 0.659393482 0.793912499 -0.8691863389 0.713711696 -0.09791983
## [446,] -0.314053852 -0.778555911 -0.4014396190 0.246232718 -0.33563437
## [447,] 0.548793958 0.294312059 0.0932835331 2.053964645 -2.26258457
## [448,] -1.654325477 0.315797255 0.4601942443 -1.174320773 -0.06454266
## [449,] 0.903086852 1.000171932 -1.4367506776 1.010691366 0.48436937
## [450,] -0.187656057 -0.578855658 2.4274228902 1.272061351 0.22565802
## [451,] 0.452467269 0.455376943 -0.2876506571 0.414722382 2.41018221
## [452,] 0.217665041 0.538428276 -0.8192375581 0.719403134 1.13169362
## [453,] -1.051931076 -0.163110643 -0.4347668561 -0.340412847 0.23879682
## [454,] -0.304689743 0.084186577 -0.9774225195 0.336644491 -1.10973169
## [455,] 0.796737244 -0.234585116 0.4740311202 1.398534027 0.09252151
## [456,] 0.112337240 0.177400347 -0.5549209246 -1.026392282 -1.16949129
## [457,] 0.519943150 0.017655775 0.9269519840 0.779933330 0.79073941
## [458,] -0.716074961 -0.019660815 -0.1325586852 -0.017687686 -1.16841022
## [459,] 0.842042036 0.116907442 -0.1605738252 0.358800628 2.85154915
## [460,] -0.780540175 -0.146312570 -0.4194713392 0.052832283 -0.23706271
## [461,] 0.861546417 -0.428043287 0.3239001757 -0.138428751 1.14241149
## [462,] 0.261546498 -0.541644795 -1.7805527831 1.338671341 0.03896826
## [463,] -0.002543948 0.236349513 0.8527779262 -0.976126092 0.75353383
## [464,] -1.447870619 0.796507804 0.1198723238 -0.160968241 -0.26272859
## [465,] -0.402251944 -0.583430764 0.0836062275 0.109720347 -0.70081842
## [466,] -0.111623486 0.174717173 -0.0950031599 1.356650459 -0.69625457
## [467,] -0.619127597 0.229149092 -1.0156279911 0.051576586 -1.52385263
## [468,] -0.383812181 -0.721514528 -0.7641350287 0.808561050 -0.34551111
## [469,] -0.505718510 -0.210917843 -0.5020709282 0.145411758 0.34540356
## [470,] -0.426191333 -0.040953145 1.8041767406 0.262308216 0.63328365
## [471,] 0.898961102 -0.085421816 -1.2653430571 -0.318436794 0.99170784
## [472,] -0.595435801 0.215069557 -0.8469119923 -0.092162746 -0.11837253
## [473,] 0.737118882 0.606726569 -0.3654640935 -0.629356728 1.36517170
## [474,] -0.564472472 0.478274325 -0.0648249565 -0.046955437 -0.33295729
## [475,] 0.098335601 -0.359437615 1.1743983763 0.310085782 1.14485491
## [476,] -0.113977635 -0.390024406 0.3223171745 0.718505221 -0.66310895
## [477,] 0.331371306 -0.539446311 -1.2285979858 -0.132958952 0.80128771
## [478,] -0.705202043 -0.423852724 -0.9839585095 0.834705815 -0.20720895
## [479,] 2.246847233 -0.942178327 -0.7100563737 -1.933861438 -2.01968676
## [480,] -0.642713173 0.510054073 0.5411217914 -0.648731719 -0.17061857
## [481,] 0.107365823 -0.661696620 -0.0396350702 -0.033311784 1.00434480
## [482,] 0.283436667 0.428801526 0.0152108266 1.367414993 -1.15687998
## [483,] 0.065400487 0.090158465 -0.5254960923 -0.177935666 -0.86873917
## [484,] 0.092906489 0.061647983 -0.0521118436 -0.592007983 -0.99638498
## [485,] -0.531949195 0.721855476 1.5371275051 -1.026919595 -0.42602493
## [486,] -1.012445984 0.169653265 0.6815610725 0.784833196 -0.57115814
## [487,] -0.720914426 0.662413186 1.6026673024 -1.266610191 -0.45200293
## [488,] -1.103671226 0.479647023 0.1349428804 0.104864287 -0.25261647
## [489,] -1.981092306 -4.112394400 0.8408855525 -0.504793020 0.49829923
## [490,] -0.481504071 0.145646764 0.7202406335 0.675654032 -0.07616772
## [491,] 1.286562053 0.571081315 -3.0045908425 2.200112545 1.39462383
## [492,] -0.902497916 -0.187893628 -0.6553447474 -0.159320534 0.54341724
## [493,] 0.939123331 0.395336650 0.5945369778 1.135394818 -1.02127820
## [494,] -0.478821327 0.009144093 0.4088724608 -0.139362745 0.67216639
## [495,] 1.132293919 -0.242035975 -0.1600572798 -0.063539472 1.03349420
## [496,] 0.375523152 -0.638876224 -0.4122664536 0.842437946 0.19833226
## [497,] 0.087127323 0.517119986 -1.0680172500 1.613468206 -0.36078416
## [498,] 0.147861559 -1.086699708 -0.5832488993 -0.327562849 0.42721919
## [499,] -0.842538598 0.222271008 0.3186220417 -0.854300824 1.52295605
## PC11 PC12 PC13 PC14 PC15
## [1,] 1.3542167075 -0.8390318782 -1.335221239 -0.653479827 -1.201760984
## [2,] 1.1119057703 0.8050495986 0.122044327 0.187913164 -0.118213324
## [3,] 0.8047119226 -0.1774440450 1.735491254 0.062404790 -0.831311703
## [4,] 0.4923129469 -0.3571799061 -0.104640411 0.012379354 0.396415206
## [5,] -0.6793533175 -0.6529626298 0.195948672 0.943956948 -0.035879000
## [6,] 0.0920774460 -0.3891777643 -1.414937674 0.473655936 -0.135087170
## [7,] -0.1403325526 0.6861576912 1.947408696 -0.381963997 -0.241390831
## [8,] -0.1273500471 0.4444874767 -0.064070801 -0.648846009 1.020479941
## [9,] -0.2185516073 -0.5265172401 -0.721515723 0.184645475 0.650374109
## [10,] -0.1475182801 0.3546807726 -0.156753465 -0.507987500 0.046211252
## [11,] -1.1500378056 -0.9664273280 -0.756378824 0.770790917 0.217588839
## [12,] 0.6229115273 0.3692609465 -0.681177690 -0.645329985 -0.455908973
## [13,] 0.9589931767 0.4155300305 -1.004390277 -0.396077643 -0.143019564
## [14,] 0.5629572594 1.1832388210 0.891912349 1.105293361 -0.285804947
## [15,] -0.7580146110 -0.4245826202 1.238923011 -1.336075334 -0.616922621
## [16,] -0.2752851337 -0.6342422588 0.038063559 0.650813121 0.672469605
## [17,] -0.0303815755 -0.2276836198 0.555492026 0.638177913 0.038165845
## [18,] -0.0001096449 -0.1311612888 1.165236566 -0.257115813 -0.430162545
## [19,] -0.2276386065 -0.2716628718 -0.027488004 0.125562659 0.191491280
## [20,] 0.5900361064 -0.3955407747 -0.552963079 -0.756706581 -0.593077800
## [21,] -0.3618281726 -0.0995618058 -0.308617108 -0.010599219 -0.540934742
## [22,] 1.2416785196 -1.9296164691 -0.316941644 0.473586995 0.116089027
## [23,] -0.6517964559 0.3916285650 0.437846597 -0.194436931 0.362632658
## [24,] 0.0930029515 0.0722223406 0.542685457 0.742737219 -0.731174203
## [25,] 0.6539650679 -1.4120948005 1.137746124 -0.262194529 -0.988958125
## [26,] 0.9610677650 0.3392853842 0.363601821 0.392254411 0.086615959
## [27,] -1.4388112119 0.2947098666 -0.240396086 -0.042407846 -0.575471794
## [28,] -0.1904098695 0.4618737983 -0.810035489 0.801402904 0.392560201
## [29,] -0.0861874859 -0.2253184655 0.306845650 0.670217213 -0.211452310
## [30,] -0.7354258530 -0.7295878981 0.465209606 1.187560482 -0.144557029
## [31,] -0.3410652176 0.9248756130 -0.843890573 -1.696573356 0.033006063
## [32,] -0.7417956391 -0.1924596310 -0.691507400 -1.177244687 -0.103323023
## [33,] 1.3240225724 0.1459418445 -1.152195068 0.094129511 0.576323376
## [34,] -0.6363827613 0.2013398294 -0.853389892 -1.541378698 0.877812519
## [35,] -0.5647101277 -0.2781497714 -0.413960054 -0.166268715 -0.064692011
## [36,] -0.0557013033 1.6127275983 0.817604676 0.742013543 -0.755493157
## [37,] -0.1473745585 1.0210664472 -0.386338335 -0.379961410 -0.062531924
## [38,] 0.0545683199 -0.3405148813 0.729673617 -0.569399881 0.128266858
## [39,] 0.2926528023 -0.2057410002 -0.040422226 0.394097792 0.025946626
## [40,] 0.2496095897 -0.0084896256 1.016777983 0.561339268 -0.494803252
## [41,] -0.3415868702 0.3674537160 0.386789037 0.483660330 0.892373684
## [42,] 0.7419103638 0.1343991905 0.423326385 -0.147659080 0.261871674
## [43,] -0.7743143786 0.9448473759 -0.546705582 -2.087135617 -1.347601068
## [44,] 0.6996024208 0.1386716838 -1.552192680 0.775046538 -0.562216191
## [45,] -0.0257465232 -0.0532927218 -0.631829695 0.238653123 -0.228045333
## [46,] -1.2094088125 -0.0421318917 -1.099271598 -0.766400435 1.270325525
## [47,] -0.7719913054 -0.3918782250 -0.860040408 0.400716265 -0.699115286
## [48,] -0.1415355327 0.1494277456 0.312059750 0.051668201 -0.617662984
## [49,] 1.0351374441 0.0842553025 -1.032585112 0.042572684 0.715761384
## [50,] 1.1461639339 0.2696271483 0.202237419 -0.748034704 0.718899176
## [51,] 0.5914574471 -0.1805550956 -0.130799356 1.232288730 0.119425079
## [52,] 0.8050018606 -0.8285746824 0.958237627 0.021691457 0.675840847
## [53,] -0.4823485703 -0.5196757316 0.091033423 0.185206160 0.566789363
## [54,] -0.3111851965 -0.2682652932 -0.191064621 0.242432434 0.032055615
## [55,] -0.3758644789 0.2744836298 0.589152917 -0.102375631 -0.481857429
## [56,] -0.2102820829 1.1897721774 0.968486339 -0.408075652 -0.616024095
## [57,] -1.1145202622 0.2244600071 -0.329637050 0.462111227 0.256812493
## [58,] -0.3011498706 -0.0315582847 -1.402890906 1.006464704 -1.138290394
## [59,] -1.4242167006 0.1433279998 0.097917037 -0.294035807 -0.414302759
## [60,] 0.4003121787 0.5322677799 0.238867126 0.232023420 -0.373699042
## [61,] 0.5913373055 -1.3722988555 1.093437443 0.058265384 -0.110344779
## [62,] 0.0676647440 0.4394543802 0.145957429 0.990822504 0.213467906
## [63,] -1.6661235844 -1.1075055408 -0.675451505 -0.843087358 -0.384883924
## [64,] 0.6322992966 1.2426953838 1.685538826 -0.098344647 0.270122605
## [65,] 0.7187123246 0.0497947336 -0.703424821 -0.494030761 0.033970819
## [66,] 1.7194039534 0.0241817504 0.812624989 0.473629963 -0.396258468
## [67,] 0.3909606948 0.2181532388 -0.922774588 0.297166062 -1.063738268
## [68,] -0.8312379073 -0.4447912377 -0.341236761 0.110573014 -0.041025287
## [69,] 0.2625753518 -0.2947427427 -0.627647372 0.080097572 -0.760730892
## [70,] -0.3665735814 -0.4097206373 -0.108628198 0.073184223 -0.090772676
## [71,] 0.8001178223 -0.1749297355 -0.550125777 -0.532334611 -0.193834878
## [72,] -1.8065275622 0.2867300611 -0.478050831 0.173049578 -0.246360686
## [73,] 0.3738386048 1.4043490582 0.204927754 -1.398477383 -0.284826255
## [74,] 0.8742485773 0.4731417228 0.069473988 -0.560662688 -0.494221072
## [75,] 0.3654570487 -0.2496111110 1.316868638 0.004635775 0.751451682
## [76,] -0.4344614023 -0.3492317218 -0.026821200 -1.065953840 -0.349856811
## [77,] -0.7275441550 -0.0414542095 -0.570086279 -0.127894943 -0.050013588
## [78,] 0.9297846529 0.1809572905 0.776205175 0.297363806 0.084935402
## [79,] -0.3629181709 -1.4172229605 -1.002155797 -0.837914492 0.706407373
## [80,] -0.4405288837 -0.3883241462 0.198186409 -0.239873063 -0.361295344
## [81,] -0.3312227973 -0.0661387828 -0.305498675 -0.084459534 -0.478657000
## [82,] -1.3433034846 -0.8671931350 0.549879495 1.041441366 -1.543784784
## [83,] 0.7202236360 -1.7650286667 -0.456433381 -1.607563782 -0.733024569
## [84,] 0.2649286247 -0.0595111807 0.665498214 1.085266110 0.073071711
## [85,] 0.1637868376 0.0730884302 -0.109257381 0.046587021 -0.941923044
## [86,] -0.2979834176 -0.1696095790 -1.250694966 -0.210713441 -0.027635763
## [87,] -0.3203484210 -0.3549523442 -0.357737668 0.222970163 -0.003486022
## [88,] -0.3781899182 0.7875453519 -0.783555128 -0.109995182 -0.244331651
## [89,] -0.2546215002 -0.6830279664 0.385501679 0.420953245 -0.914380205
## [90,] -0.7712218947 -0.3563125241 2.135980288 -0.496732104 0.067253243
## [91,] -0.1068846307 -0.4490392792 -0.453358347 0.529246035 0.188846481
## [92,] 0.9784669629 0.2768851509 -0.160089582 0.170512329 0.163667288
## [93,] -0.8823430667 -1.2768575202 0.426396975 -0.558234761 -0.660628360
## [94,] 0.6236000765 0.3015984129 0.718437980 -0.457154087 -0.425141443
## [95,] -2.1141127049 -1.4166110367 -1.225308196 -2.174171233 0.531875823
## [96,] -0.2907156926 -0.0877888353 1.584658204 -0.884686247 -0.351960432
## [97,] 0.2737122261 -0.1905664558 0.081468644 0.533065842 -0.156606193
## [98,] -0.3676182167 -0.2522314118 1.213820647 0.623342303 -0.601948686
## [99,] 0.0656328488 -0.2616204324 0.868081090 0.471712587 0.722633576
## [100,] -0.3615338377 -0.2825688967 1.271609371 0.135190213 -0.042850086
## [101,] -0.3568284099 0.9440178044 0.395564352 0.787885562 0.042002852
## [102,] -2.2748422173 1.2744206595 1.404502854 0.215428505 0.444664568
## [103,] 0.5945581622 0.3263145538 -0.292760103 -0.784104630 -0.504118028
## [104,] -1.7913731956 1.0064747323 -0.212522790 -0.400275287 -1.786815478
## [105,] 1.2145127005 0.2535290323 -0.144622518 1.033071732 0.557583486
## [106,] 0.0616879964 -0.5885435971 0.121022273 0.359032748 -1.589760082
## [107,] -0.4990025666 -0.2934109975 0.234775531 0.929086162 -0.688396944
## [108,] 0.1943422673 -0.5956894313 0.066780996 -0.055679757 0.691364616
## [109,] -0.5385868212 0.8400999184 -0.540763007 -0.140692987 -0.424811898
## [110,] -0.0165906366 -0.7790148386 1.537348678 0.690869189 -2.014170584
## [111,] -0.6520987804 -0.6437195776 0.565358030 1.022560611 0.026809436
## [112,] -0.3227141149 0.8282651306 -0.255776416 -0.231798323 -0.292177553
## [113,] -0.3698020785 -0.6177478884 0.081542625 0.256644404 0.232506506
## [114,] -0.6411367529 -0.4564833689 -0.018502698 -0.600024340 -0.207559215
## [115,] 0.5651553302 -1.9852142497 0.212624373 -0.003578361 -0.225878224
## [116,] 0.6336525909 0.3741383252 -0.380434792 -0.914546018 -0.426373523
## [117,] -0.3835254863 -0.6668933451 -0.797041351 1.036263621 -0.338720660
## [118,] -0.0310990047 1.0657044007 -1.972389810 -0.108250147 -0.071671960
## [119,] -0.1131944290 0.9865710839 0.900357550 0.042872037 0.032322116
## [120,] -1.4704977899 0.4537612112 -0.963903012 1.126794814 -1.268625793
## [121,] 0.6523780470 0.9396102714 0.080094942 -0.441508426 1.062781025
## [122,] 0.5843199396 1.5410168034 0.265719088 0.543885050 -0.131498636
## [123,] -0.0159579974 -0.0387095940 -0.140337270 -0.049920531 -0.272638254
## [124,] -0.2395319717 0.0127109333 0.881188234 0.582686509 0.344212479
## [125,] 0.6912167607 0.1645288802 -0.932035960 -0.918312222 0.133864648
## [126,] 0.0867015786 -0.3148039376 0.546112174 0.002066068 0.186428755
## [127,] -0.7766289254 0.0026482701 0.055084608 -0.193739519 -0.847232445
## [128,] -0.7895504501 0.7361386195 -1.133000381 0.150963649 0.176441129
## [129,] -0.3191589897 -0.1196564205 0.887285654 0.355653155 -0.430613939
## [130,] 0.1432746344 -0.3884029819 0.964521623 -0.292839049 0.152928514
## [131,] 0.3790258541 0.3975833744 -0.088380671 -0.332176353 -0.041223986
## [132,] 0.7905464455 0.0889207952 -0.164338047 -0.191104403 0.830504683
## [133,] 0.2690422035 0.0954172464 -0.627142688 -0.375169574 -0.896691399
## [134,] 0.8753979196 -0.0213760943 -0.138733642 0.171152686 0.282427019
## [135,] -0.3294354202 -0.1000979759 0.336290051 0.163887347 -0.462368851
## [136,] 2.3258913164 -1.5361057232 0.713768473 -0.217227119 -1.514151071
## [137,] -0.6516341472 -0.6192837542 0.315105325 0.561578770 0.024589975
## [138,] 0.9250124479 -0.1510337742 0.958938193 1.124864184 0.653611074
## [139,] 0.2248122021 0.0234268895 -0.039816662 0.206098188 -0.566046456
## [140,] 0.4020383979 -1.0971071831 -0.710761493 -0.116045249 0.527587161
## [141,] -0.3349994734 0.2935675007 0.792205317 0.815783229 0.926451723
## [142,] 0.6207100315 -0.1494368413 -0.523094396 0.238949366 0.321149812
## [143,] 0.6792647749 -0.4834152327 -0.680161075 -0.665373913 -1.089426198
## [144,] 0.0454428308 0.1209361173 1.286759337 -0.038068705 0.841768123
## [145,] -0.0221084738 -0.0713982042 -0.271917246 0.626174319 -0.015108653
## [146,] -0.4142772059 -0.9952604987 -0.487569677 -0.364273547 -0.560464107
## [147,] 1.1034591733 0.2238705198 -0.172265570 -0.068149957 0.621161370
## [148,] -0.4447877884 -0.2555756842 -0.898566531 -0.323715080 -0.379721380
## [149,] -0.3522623670 -0.1714098295 -0.654354995 -0.015162488 -0.203372071
## [150,] 0.3900783584 0.6922572922 -1.057462220 -1.418089183 0.997533062
## [151,] -0.5489993295 -0.9300059727 -0.118310392 -0.339025877 0.358883312
## [152,] 0.0756615609 -2.0613153201 0.287264899 1.095127577 0.550367660
## [153,] -0.0932590127 0.2831730761 -0.588317444 -0.308472490 -1.079295211
## [154,] -0.3633916337 -0.1577009696 0.699462541 0.390211639 -0.524235900
## [155,] -0.4526026706 -0.1976901302 -0.550307239 -0.191090662 -0.375113268
## [156,] -0.5480424980 1.8153604521 0.466813743 0.074700161 -0.198020180
## [157,] -1.1768551904 0.3737031164 -0.543334683 -0.108121204 0.013276694
## [158,] 0.6763179338 -0.0972473964 -0.542102625 0.456327673 0.432047302
## [159,] 0.6444835865 0.3679368963 1.006098243 -2.562876098 -0.366393620
## [160,] -0.3253221997 -0.6850075778 0.230528701 1.207180573 0.507141046
## [161,] -0.2792314788 -0.0902696652 0.326986152 0.320658809 0.134483107
## [162,] 1.1161927534 0.2454716424 -0.308455254 -0.153021566 0.644361514
## [163,] -0.3703172260 -0.1139625542 -0.217823986 0.045981854 -0.556401505
## [164,] -0.2812408906 0.4810615768 -0.396418883 -0.436110877 -0.226632722
## [165,] 0.1474214226 -0.1108841381 -0.721346094 0.827432534 -0.193148795
## [166,] 0.7773582116 -0.0942325291 -0.222186339 -0.134146043 0.775298865
## [167,] 0.7734094277 0.1508426169 0.747339181 -0.097345954 0.332293491
## [168,] -0.9124102563 0.7207005942 -0.151217109 -1.739148258 -0.258834149
## [169,] -0.4818729002 0.3932290495 -0.178412198 0.544742096 -0.892807557
## [170,] -0.1597980062 -0.5008307614 -0.028093569 0.313562263 0.783484362
## [171,] 0.9576883615 0.4090485000 0.002091283 -0.024017363 -0.466402718
## [172,] 0.4228065404 1.1686619242 -0.605781601 0.464099758 0.160707866
## [173,] -0.0666283290 -0.0671573001 -1.185943732 0.120747629 -0.322077987
## [174,] 0.6570916568 0.3347655833 0.605518195 -0.222496538 -0.361054932
## [175,] -0.5595632979 -0.2193136334 -0.084917894 0.308593154 -1.066492994
## [176,] -0.0064778764 -0.2426205384 1.291192308 0.869245552 0.101264974
## [177,] 0.2129452669 0.2361426824 0.159891343 0.522910025 -0.116006186
## [178,] 0.2556944966 -0.4040075329 -0.223772512 1.252450321 0.000850094
## [179,] 0.4096205886 0.3284280327 -1.196054600 1.157524017 -0.462048861
## [180,] 0.0261444191 -0.3872376937 -0.937096338 -0.081641118 0.368976875
## [181,] -0.7194877443 1.5784931439 0.746878601 0.463731849 1.006858229
## [182,] -0.6911105237 -0.4574357840 -0.749702558 -0.152829453 -0.192527391
## [183,] -0.6124149386 -0.4564098156 -0.629292393 0.095179188 0.330221843
## [184,] 0.4128405479 0.3355218771 0.226282941 0.120974741 0.298398869
## [185,] 1.4352881196 -0.8244081469 0.680193668 -1.000071417 1.548963417
## [186,] 2.2355693890 -0.0723630283 0.848429515 0.861274276 0.365642299
## [187,] 0.3468380479 -1.3551506365 -0.406706914 0.398262268 1.219020901
## [188,] 0.7243363132 0.0960353581 0.833992187 -0.526411794 -0.006817164
## [189,] -0.5518865726 0.6650560241 0.260486813 0.264210016 -0.459442983
## [190,] 1.0175261510 -1.9488729660 0.073700935 -1.161600923 0.520497258
## [191,] 0.0781860414 -0.5040429276 1.544028315 0.202722113 -0.820139814
## [192,] -0.2497237246 1.2091387786 -0.424493880 -0.985009737 -0.346697978
## [193,] 0.3106737348 -0.3559341471 -0.059978317 -0.307611645 0.269379108
## [194,] -0.1125506728 0.9242153371 -0.296404805 -0.531825465 -0.140280955
## [195,] -0.2377765708 -1.4399098052 0.034533161 -0.135974130 -0.133588286
## [196,] -0.6699997763 -0.6028809625 -0.871605130 -0.118979055 0.651122775
## [197,] -1.5162112796 -0.5758176864 -0.654736622 -0.074721875 0.025626524
## [198,] -0.4749299771 -0.5361876129 -0.203905851 0.690662408 -0.192245284
## [199,] -0.5209335023 -0.1959256854 0.077660122 0.639133607 -0.986529028
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## [402,] 0.8632914930 -0.2651191253 -0.757232620 -0.065408729 -0.137116790
## [403,] -0.3677586886 0.8249157203 -0.129081077 -0.990949156 -0.933137643
## [404,] 0.6988571091 -0.3374633904 -0.469332314 0.828865106 0.786943204
## [405,] 0.8240524038 -0.0178608706 0.864891668 0.155685699 0.905283849
## [406,] 0.4323654306 -0.2531934604 -0.717703517 -0.887927597 1.050992594
## [407,] 0.5548206914 -0.0021591466 -0.230004676 0.138595390 0.286091469
## [408,] -1.3924728054 -0.3699729803 -0.075439579 -0.680265867 -1.140961658
## [409,] 0.5465810846 -0.5497008536 -0.276402705 0.242625398 0.529690228
## [410,] 0.5363575621 -0.4016971359 -0.628762586 -0.261656611 0.317091366
## [411,] -0.4908035688 0.6797333005 -0.130612301 -0.078736443 0.069087151
## [412,] -0.0998291400 -1.2990305507 0.656583029 -1.297189665 0.202098297
## [413,] 0.2168368672 -0.0501211341 0.249810465 -0.864704720 0.120117821
## [414,] 1.2953788226 -0.9264356212 0.241478867 -0.008186709 -0.096626532
## [415,] 0.0760011201 0.6221832123 1.560584779 -0.295462051 0.846731048
## [416,] 0.8808941000 1.9095643936 1.386808076 -1.223248011 -0.175483554
## [417,] 0.0826209349 -0.3699353137 0.242204164 -0.130344648 0.719341965
## [418,] -1.4866471353 0.1715445800 0.382345165 -1.124054372 1.583982393
## [419,] -0.2039808992 -0.3144535461 -0.438773917 -0.300680619 0.558178708
## [420,] -0.7839332237 0.6108463843 0.034394216 -0.102002735 0.200791778
## [421,] 0.5919963892 1.2899359291 0.407328238 0.297427946 0.761962587
## [422,] -0.5113179524 1.9527170762 -0.380085986 -0.116728222 -0.178638214
## [423,] -0.2123612310 -1.0424274037 0.339164376 -1.163586147 -1.080084884
## [424,] 0.6489356439 -0.2775646169 0.312860628 0.008991977 -0.663182953
## [425,] -1.7833041613 -0.7345971944 -0.458849691 -0.635458711 -0.050356824
## [426,] -0.3291578589 0.1254812194 -0.007787677 0.112151600 -0.327097117
## [427,] 0.1150585030 1.2311638827 0.344530854 0.110392723 -0.332670136
## [428,] 0.6008816070 -0.3526426215 0.712453158 0.453273904 0.148448710
## [429,] -0.2313116712 -0.7229566042 0.321796980 0.413592056 -0.363927841
## [430,] 0.2229227982 1.0986914111 -0.244254810 -0.754012742 0.332628528
## [431,] 0.1081837057 -0.3050491803 1.147597970 -0.536365997 0.245499655
## [432,] -0.2444116980 0.6960463831 0.231409770 -0.159264708 0.080249336
## [433,] 0.7350594364 0.1403909790 0.127747966 -0.565444025 0.460829811
## [434,] 0.1252754554 -0.8935272213 0.112268911 0.196343923 0.012178057
## [435,] -0.6033236989 0.2281301569 0.274245957 0.613029037 1.347823313
## [436,] -0.4312057848 -1.4447702171 0.563153991 0.071382156 0.274834667
## [437,] 0.1971828073 0.0845717125 -1.399950341 0.517522700 -0.357593938
## [438,] 0.7524780257 -0.2968462314 -0.376179777 -0.394388460 1.049547605
## [439,] -0.5578354299 -0.0863127031 -0.476019507 0.691500096 -0.005097571
## [440,] 0.5814940317 -0.2087225893 -0.205764584 -0.197753454 0.025511760
## [441,] 1.3318917989 0.7874247170 -0.086934122 0.590939201 -0.954376863
## [442,] -0.5118563952 -1.2802255120 -0.704358490 0.293077909 -0.046810718
## [443,] -1.0980360656 -0.0271833616 0.289192388 0.063632591 0.552895021
## [444,] -0.0118578338 0.2167056829 -0.139841258 -0.079158883 -0.248988204
## [445,] -0.2594076997 -0.2340528473 0.394238322 -0.227507990 -0.861768888
## [446,] 0.0767863491 0.1333700678 -0.365010497 0.376970483 0.081686242
## [447,] 0.1496484054 0.1009842048 0.211803334 -0.326711371 -0.554114585
## [448,] 1.0246215066 -1.6390392053 -0.123394783 0.350233287 -0.682328862
## [449,] 0.2850164228 -1.0114445247 0.907943315 0.813616900 0.268210813
## [450,] -0.7122660898 -0.0128152788 0.196001229 -0.278968535 1.636069395
## [451,] -1.7454833061 0.7665395496 0.627907437 -0.675613832 -0.178201008
## [452,] 0.7747315003 -0.1202237902 0.722320483 -0.839643290 0.793894091
## [453,] 0.7524453398 -0.6895073216 -0.061345072 -0.445652095 0.356167184
## [454,] -0.3933010794 -0.3671611754 -0.780869409 0.987494583 0.203303393
## [455,] 0.0026198669 -0.8802674756 -0.785372543 1.424978381 -0.917184469
## [456,] 0.2574665235 1.1471140780 1.035702376 -1.539528315 -0.061546922
## [457,] 0.7052869999 -0.2661633479 -1.267466083 0.166861264 0.182632578
## [458,] -0.1289278833 -1.0539329571 -0.468353882 -0.054718268 0.610581317
## [459,] -0.6583929523 0.3565638446 0.891201043 1.340957293 1.172738485
## [460,] 0.5997449581 -0.0594637028 -0.878830998 1.524358320 0.077249043
## [461,] -1.0084826922 0.3059960745 -0.609230673 0.587991631 0.869284713
## [462,] -0.4616809390 0.2389002836 -0.995973363 -0.003072753 -1.381382722
## [463,] -0.8544543347 -1.2583469508 0.288232093 0.041521724 -0.610199844
## [464,] -0.0760541781 -0.9696472637 0.484579000 0.711429510 -0.347712868
## [465,] -0.0744563006 -0.3837242061 -0.629850960 -0.342404520 0.254829375
## [466,] 2.3877284251 -0.6445370373 -1.303752450 -0.468697114 0.592509936
## [467,] -0.4636329504 -0.7496778447 0.273959069 -0.241640528 0.949594352
## [468,] -0.0251216905 -0.6339815132 -0.262190402 -0.686569035 0.820004778
## [469,] -0.1704886134 1.8220164140 0.714124389 0.599641277 0.424073209
## [470,] -0.5121931214 0.6249539278 1.128841180 -0.372709147 0.464727608
## [471,] -0.5056180745 -0.4954712958 -1.152241099 0.475291344 0.491430314
## [472,] 0.2742365878 -0.1320067191 -0.913133130 -0.209019993 0.268050439
## [473,] -0.9646160585 0.6858109107 -0.879638380 -0.369950135 0.378353546
## [474,] -0.5952726045 0.9788733623 -0.048970287 0.104514966 -0.284067674
## [475,] 0.9635907772 1.2396342616 -1.515897563 0.306307515 0.566332634
## [476,] -1.0836690160 0.4484217807 -0.284191483 1.305403304 -0.910291760
## [477,] -1.2474742002 -0.8089627770 -0.759635489 0.205133359 0.340042685
## [478,] 0.1270371266 -1.4695069438 -0.171155629 0.021919871 -0.140628941
## [479,] 0.1530892910 -0.9015834717 0.580326359 -0.592355393 -0.227212800
## [480,] -0.1781778153 -0.2544763526 1.521623047 -1.192226967 0.331435149
## [481,] -1.6965259534 -0.1566650120 0.265957366 0.459491998 0.112317012
## [482,] 1.2715768281 1.7795248836 -0.077938273 0.099692926 0.844098233
## [483,] 0.4317369145 -0.2296982819 -0.118146241 -0.266244503 0.512565465
## [484,] 0.3638963142 -0.0005303922 -0.117540676 -0.454244107 -0.079427617
## [485,] 0.4747970273 0.4560764543 -0.165245093 -0.784073520 0.507677120
## [486,] -0.4665881355 -1.4842361392 -0.495078547 1.338317560 -0.517087594
## [487,] 0.5381076467 0.2561772157 0.458505597 -0.974226335 0.333396684
## [488,] -0.2179486181 -0.4411455092 0.204170284 0.355760929 0.508136428
## [489,] 0.2161722957 1.9287359750 -0.136144209 0.125484014 -0.642096358
## [490,] 0.3035417256 -1.1237087667 0.067009928 -0.613998521 -0.277005999
## [491,] 0.3810242318 -0.1666734610 1.296842497 0.069755433 0.899001459
## [492,] 0.9078925399 -0.2282314589 -0.606941580 0.690541851 0.158422637
## [493,] -0.4893926815 -0.4952354525 -1.187569008 0.629952148 0.851133117
## [494,] 0.2327953660 -0.0852221244 0.849059657 0.513800161 0.014909814
## [495,] -1.4649412529 0.5529571694 -0.445646364 -0.065352555 -0.396007604
## [496,] -0.0745516169 1.1884399671 1.009547836 0.010708070 -0.186283129
## [497,] -0.8880318353 -0.8524930333 0.168430308 0.262811058 0.590072028
## [498,] 1.2293121693 1.3237879309 0.805266934 0.853220026 0.093281795
## [499,] -0.9047601387 -1.3682466199 0.233433553 -0.240674932 -0.164573289# Identifying the scores by their survival status
Diabetestyp_pca <- cbind(data.frame(Diabetes_binary),Diabetes_pca$x)
Diabetestyp_pca## Diabetes_binary PC1 PC2 PC3 PC4
## 1 0 -0.606240531 -0.398177515 2.391958872 -0.2383106771
## 2 0 0.352807562 2.830353077 0.002293405 0.3251954957
## 3 0 -2.178113675 1.159551255 0.002062511 0.1841974664
## 4 0 -0.926465857 1.912889526 0.678087521 -0.5739676536
## 5 0 -1.818475684 -0.049966573 -0.037373299 0.3764022678
## 6 0 -2.163596044 -3.776800002 0.374854500 1.2299026639
## 7 0 -2.169569628 1.584375518 0.934135847 1.1467231594
## 8 0 0.410018794 -0.244220845 0.708821575 -0.8335133071
## 9 0 -2.255473061 -1.532074349 0.440338251 -0.2104653518
## 10 0 -0.015428398 -0.071476543 0.881305129 -0.3898030050
## 11 0 0.823915461 1.518058248 -0.931243547 1.2415755698
## 12 0 -3.359160479 -0.152943084 0.736066936 0.4546072340
## 13 0 -1.935232397 0.678628476 0.298886842 -0.6341401395
## 14 0 1.177495858 0.074250873 -0.021325458 -3.8360558955
## 15 0 -0.889377976 -0.320872696 -1.456080424 0.4881671112
## 16 0 -0.912251229 -0.015763802 -0.631110084 1.5237722632
## 17 0 -1.738441113 -0.697026763 -0.879499871 0.1992750422
## 18 0 -2.320801387 1.317180255 0.440297993 -0.1961042303
## 19 0 -2.528846362 -0.440392279 -0.484142286 1.0442640296
## 20 0 0.342525268 -1.420096473 0.714265293 -1.2900570223
## 21 0 -3.015466346 -0.718654644 -0.403400036 0.8535263483
## 22 0 1.038127484 1.079553946 2.160644012 -0.4933776094
## 23 0 -2.940616400 -0.483146821 0.763133788 1.6755372819
## 24 0 -1.644467931 -0.890240937 -1.396780233 0.3230041143
## 25 0 0.791264060 -1.616856831 -0.107904756 0.9238608396
## 26 0 -2.097172293 0.069325402 0.398220866 -0.0126187072
## 27 0 -0.474682328 1.419714227 -0.643430572 0.1238195558
## 28 0 0.961013814 -0.590986484 -0.832699432 -1.0518672709
## 29 0 -1.651639608 -1.403389957 -0.255879115 -0.5217829965
## 30 0 -1.632691189 -0.377051615 0.159385549 -0.6877574285
## 31 0 1.704135781 -2.164982745 1.656040529 1.4758181910
## 32 0 -1.361771076 -1.469442667 0.147203074 0.9989437926
## 33 0 -1.778087810 -0.784948456 0.695934712 0.6764068099
## 34 0 -0.036878893 -1.966125490 -0.336146676 0.4876191828
## 35 0 -0.123794448 2.470797244 -0.066397476 0.2080989751
## 36 0 -1.195731733 -1.476909516 -0.467396531 1.6590965153
## 37 0 -2.190642492 -0.006794962 0.893728613 -0.5237881368
## 38 0 -1.870313226 0.547837097 0.928549178 -0.8403512741
## 39 0 -2.090087049 0.471952090 1.119812203 -0.3084049804
## 40 0 -2.171239633 1.446853098 0.242581082 0.1839560441
## 41 0 -2.129855827 -0.838105324 0.844233475 1.3860766855
## 42 0 -2.523281797 0.341560385 0.438992299 -0.0852170308
## 43 0 -0.357933376 0.037659480 0.576466477 -3.0074346136
## 44 0 -1.104995565 0.361425481 0.967422919 -1.4551350126
## 45 0 -1.591538264 0.112916916 -0.840580130 -0.2352210252
## 46 0 0.434295880 -1.589273150 1.308210576 0.8172830145
## 47 0 -2.671945733 -0.319568428 0.104285728 1.3133139165
## 48 0 -2.091202644 -0.872289105 -1.012620173 0.7748441511
## 49 0 -2.254899214 -0.739252648 1.101274569 -0.0159292379
## 50 0 -0.878134388 1.470189969 -0.601158520 -0.0801021844
## 51 0 -0.021011650 -0.005302400 -1.404853976 -0.3089410320
## 52 0 0.834590864 -0.417315288 2.939931546 0.4681054531
## 53 0 0.524582441 2.436572199 0.043712945 -0.5700269952
## 54 0 -2.470454763 -1.134212205 0.024439403 -0.0134862709
## 55 0 -2.467441524 -0.485954041 -0.694778037 1.0992146570
## 56 0 -1.987414713 0.796848832 -0.091182111 -0.5010076763
## 57 0 -1.387549504 -1.552782132 0.606928089 -1.6432891717
## 58 0 -1.390369653 0.460850907 -0.730682770 0.6272840900
## 59 0 -3.264509549 -0.046106964 1.417001221 1.6847296908
## 60 0 3.088994827 -0.185924380 2.760913096 -0.6970309121
## 61 0 -0.143569338 0.364387021 3.025695360 0.5429814688
## 62 0 2.047436690 -0.577100770 -1.567957456 -1.4643776885
## 63 0 -0.096600756 1.734086549 -0.663235152 1.5892583589
## 64 0 -1.630750928 0.207938535 0.641837034 0.3520372553
## 65 0 -2.845029164 -0.513618475 1.182463366 -0.1521447367
## 66 0 3.242622839 -2.029394200 1.830341632 3.5751352480
## 67 0 -1.681017891 0.986498165 0.682794823 -1.2862442879
## 68 0 -0.694000679 2.592138654 0.560669429 -0.4785484105
## 69 0 -0.690127562 -0.566605055 -0.849195501 -0.4892813721
## 70 0 -2.228591931 -1.692364661 0.167537626 -1.1248653201
## 71 0 -2.661473973 -0.359873114 1.244245335 0.1811174059
## 72 0 -1.781969331 -0.257651903 0.687450704 0.1196862702
## 73 0 3.730056691 -0.726358544 2.617701225 0.9515743710
## 74 0 -2.439695549 -0.058043391 -0.107332356 0.4106926735
## 75 0 -0.178500718 -0.628523357 -1.969896196 0.7251784543
## 76 0 0.038640360 0.167825198 -1.384302034 -0.2740053592
## 77 0 -1.734280525 -0.850648257 0.368110103 1.4676670179
## 78 0 -1.811395539 -0.081585182 0.175425615 -0.9461092237
## 79 0 -0.588754215 -1.469039759 0.849188809 0.8958811137
## 80 0 -0.139242711 0.487081484 -1.223953428 -0.5577896058
## 81 0 -3.057085303 -0.479155398 -0.564721822 1.3459097769
## 82 0 -0.344622830 -0.448822284 1.100266866 -0.8511454998
## 83 0 1.640178510 -1.877442783 0.113202828 -0.7863296085
## 84 0 -1.411764499 -0.245015010 -1.513446134 1.1898176543
## 85 0 -1.735237498 1.440029988 0.628255695 -1.7207906497
## 86 0 -2.857191161 -1.547391200 0.457155833 0.8409784817
## 87 0 -2.530563661 -1.296205834 0.119801620 -0.2581973722
## 88 0 4.390366151 -0.142393231 1.193938080 2.6964968666
## 89 0 1.947730145 -2.690653586 1.281869023 -0.5479370100
## 90 0 -0.816890241 -0.045470328 0.298567424 -1.2925834993
## 91 0 0.254945832 0.185179463 -0.957530453 -0.3364926057
## 92 0 -2.390543199 0.054539644 0.361740526 0.3652325365
## 93 0 2.885642134 1.953307583 1.296962070 -0.8852212105
## 94 0 -2.664593794 0.283453501 0.124848436 -0.3325446868
## 95 0 2.576103208 0.325042883 0.549106714 0.4821520036
## 96 0 -1.808863748 0.053846731 -1.874778296 0.9924474228
## 97 0 -1.376807675 -0.876752479 -1.128509078 1.1678901791
## 98 0 -2.353607923 -0.253691264 -0.811525060 -0.3154152494
## 99 0 -1.034724763 -0.794762866 -0.851461100 0.1715526566
## 100 0 -1.268043388 -3.673889855 0.601597092 -0.8185845228
## 101 0 1.404555441 -0.130684788 0.019379515 0.1847125097
## 102 0 0.654684080 -0.149391390 0.341588253 0.9995112755
## 103 0 -3.026724937 -0.353395563 0.640199687 -0.2055654193
## 104 0 4.161152579 -1.060125804 1.365196755 1.6451142572
## 105 0 -1.442872036 -0.827727702 0.819631000 -0.9660751550
## 106 0 1.784056713 -0.326883881 -0.490750130 -0.3254687765
## 107 0 -1.783712826 0.221220113 -0.871391056 1.3896021524
## 108 0 -1.948970227 0.544273766 1.584398637 -0.4126460721
## 109 0 -0.951160944 1.819740233 0.691418541 -1.1744493066
## 110 0 0.772646639 0.188908739 1.680305228 -1.7932047910
## 111 0 -1.709492881 0.312250858 -0.312767456 0.5988007679
## 112 0 -0.793878346 0.193215549 0.564407852 -0.3075107646
## 113 0 0.139798601 0.247298590 -0.724863070 -1.1840295569
## 114 0 -0.779046200 0.866434152 -0.942668213 0.0172144532
## 115 0 -0.026950229 -1.352287682 0.724883346 1.0781430348
## 116 0 -3.116399073 -0.084701052 0.467065546 0.4774100985
## 117 0 -1.742698849 -0.475757127 0.156668065 1.3126054954
## 118 0 0.012364592 0.296063473 0.990343944 -0.9297619879
## 119 0 -1.725964768 0.781967552 0.252492638 -0.7301602435
## 120 0 -1.581609441 -0.895991463 0.366757932 -0.3520358538
## 121 0 0.147873526 -0.856057007 1.855554391 1.3881977901
## 122 0 -1.683501360 -3.653644591 2.795129364 -0.1609395875
## 123 0 -1.628576805 -1.432365478 -0.204278125 0.9527911893
## 124 0 -1.589753545 -0.881332184 1.243319806 1.3507610216
## 125 0 -2.854180917 -0.741177528 1.086621042 -0.0784405597
## 126 0 -2.264444604 0.998472076 1.035742190 -0.2664711191
## 127 0 0.431575684 0.829226451 -2.582503322 0.7352084789
## 128 0 -0.742633888 0.009111216 -0.418345027 -0.4448386432
## 129 0 -2.598843801 0.099303135 -1.056448365 0.8377463309
## 130 0 -1.944399388 1.254394641 0.701747929 0.0707114060
## 131 0 3.472329321 -2.108915719 1.435252511 1.4614550157
## 132 0 -2.249828647 -0.353146263 1.143217517 -0.3740439865
## 133 0 -1.994339942 1.832077378 0.480576345 -0.0722663644
## 134 0 0.188427628 1.010925025 -0.052114399 -1.1800855322
## 135 0 -2.803936962 -0.204523764 -0.804678917 0.9965320092
## 136 0 1.035595103 2.226956775 1.079373890 0.8164854195
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## 400 1 4.437649222 -0.715172615 2.322672413 0.0916621613
## 401 1 -0.352878266 -0.053332793 -1.530184164 0.2519763169
## 402 1 1.725305338 0.277819244 -1.963587571 1.1230063726
## 403 1 1.092839134 -0.730026982 -2.009400660 -0.7412578824
## 404 1 0.394293776 -0.324842332 -1.227434010 -0.1590133079
## 405 1 -1.893315001 0.302817887 0.585531405 -0.6345351052
## 406 1 0.244260942 -0.696043389 -1.334559076 0.0117163162
## 407 1 0.262897634 -0.418087829 -1.817375556 -0.2277316974
## 408 1 1.370436207 2.004000370 2.828527245 0.6850675778
## 409 1 2.106911367 -0.303486380 -1.800729820 0.2679496324
## 410 1 -1.102330387 1.825938425 0.853051744 0.0897897746
## 411 1 0.436767359 0.197939844 -1.500376363 -0.3962817798
## 412 1 0.343019654 -3.285459399 -0.777514563 -3.5747529463
## 413 1 1.915190881 0.861268913 -0.885127958 -0.0738524494
## 414 1 2.995598088 -1.413013541 -0.293167506 0.7759848475
## 415 1 -0.908553129 0.516115029 1.427819246 0.1301188018
## 416 1 1.048686817 -0.921710601 1.508217286 -0.9148171595
## 417 1 -1.182920861 -1.100238113 -0.845196570 0.4513984700
## 418 1 0.732075729 -0.997386463 0.882639785 0.3266155714
## 419 1 0.896131733 2.221707870 -0.481093944 0.5771974081
## 420 1 -0.016016455 0.229038019 -1.089130329 -1.1839138723
## 421 1 1.985146731 -3.729851863 -0.253117659 0.6158646740
## 422 1 1.342184972 -1.668292784 -0.591287663 -0.9597336514
## 423 1 0.582869712 0.418757300 -1.049446695 0.4239897292
## 424 1 1.003746316 0.780749820 1.710634104 -1.1595026219
## 425 1 -0.170756689 1.691970101 -0.875365013 1.0116387732
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## 427 1 -0.806248037 1.560178360 -0.259360815 -1.6125579143
## 428 1 0.172106286 1.031908693 0.449529448 -2.7843021782
## 429 1 -2.053476354 -1.086158635 0.169746310 -0.4682199706
## 430 1 -0.353274366 1.005053560 -0.099172790 -1.2810416473
## 431 1 -1.778921791 1.134956140 0.497739412 -0.2208653900
## 432 1 0.617449086 1.238819685 0.234010417 -2.3231879285
## 433 1 1.530034315 -0.880130910 -1.165285581 0.8824819929
## 434 1 3.178031465 1.327516037 0.703053352 -0.4508637112
## 435 1 0.921401559 -0.062030640 -0.328461798 -2.0227796360
## 436 1 0.645929806 -0.914372688 1.199267301 0.1029754553
## 437 1 -1.513291067 -0.355212540 -0.780134825 0.1040292921
## 438 1 0.132122691 0.968554332 0.447934022 -1.1222260615
## 439 1 2.530822040 -1.328210092 2.453807714 1.4497896259
## 440 1 0.562399002 -0.771907755 -1.636043491 -0.4974467350
## 441 1 -1.123704946 0.914167912 -0.907350383 -0.7428138298
## 442 1 2.899339955 1.881053308 1.647439940 0.1868405321
## 443 1 1.447296233 0.330944745 -0.643520028 -1.7617527688
## 444 1 1.327063713 3.277391288 0.226312339 0.6305047930
## 445 1 2.165907466 1.471900731 -1.152179873 0.8332512985
## 446 1 1.044641541 -0.377937506 -1.133829343 0.0870661914
## 447 1 1.202873706 1.369949600 -0.924422395 0.4426866404
## 448 1 1.490951035 -0.713930296 -0.229577109 0.1131247335
## 449 1 -0.108700619 1.153946123 -0.854321204 2.1021474792
## 450 1 1.683964972 -0.790327268 -1.018476004 0.6174797579
## 451 1 1.931366277 -1.603163544 -0.194502178 0.4727238386
## 452 1 -1.473569098 -0.574590854 0.568281023 -1.4621299079
## 453 1 1.364876540 -1.051197480 -1.313240037 -0.6750350200
## 454 1 -0.565196904 0.195531217 0.059636248 -0.5501112574
## 455 1 3.459769850 1.540421738 -0.459525432 1.8118430737
## 456 1 -0.059530828 1.410558792 0.112923574 0.3642406234
## 457 1 3.684124970 0.464497623 -1.418638368 2.3096513296
## 458 1 0.477071264 0.259333050 -0.305277326 -0.0280787157
## 459 1 0.867484119 0.725284009 0.270935732 -1.5659574126
## 460 1 2.690776727 -1.740553145 1.266296499 0.6130126752
## 461 1 1.651209677 2.187579030 0.232289043 -0.7326918256
## 462 1 -0.418698730 -1.058785873 -0.393032386 -1.1235719545
## 463 1 2.515538347 2.389344930 1.410061259 -0.4066371001
## 464 1 2.432114603 -0.914542482 0.735798241 -2.1133464616
## 465 1 0.415237535 0.090824792 -1.273294668 0.3443790249
## 466 1 1.793212788 -0.795405753 -1.133471047 1.6752513367
## 467 1 0.328231726 0.457981356 -0.276875308 -0.6812398001
## 468 1 1.331171631 -0.531351049 -1.150398712 -0.8329382166
## 469 1 2.697729195 -1.480153820 -1.199178400 -1.5980817521
## 470 1 0.523474164 -0.771320855 -1.904139818 0.1347213290
## 471 1 -0.214088712 2.025456501 0.821672818 -0.2662549567
## 472 1 -0.450705924 -0.850755818 -0.949864966 -0.6693009064
## 473 1 0.096310378 1.512768053 0.367931078 -1.1259075609
## 474 1 0.803328451 -0.746689199 -0.569667428 -1.3011508030
## 475 1 0.892743466 -0.438305982 -0.047196957 -1.4950940245
## 476 1 0.356060813 0.492043653 -0.692537974 -1.3639765858
## 477 1 1.045887851 0.916963816 -1.063866425 0.4360234775
## 478 1 1.635114048 -0.769897410 -0.032617289 -1.3337104375
## 479 1 3.384171406 -3.748637982 2.117821826 0.4816992405
## 480 1 -1.291011741 -0.113779752 -1.823243054 1.0629823077
## 481 1 3.533787560 0.724417347 -0.959931323 -0.2528729747
## 482 1 2.879625120 -0.654049208 -1.121197954 1.0800265997
## 483 1 -0.850903456 1.623654034 0.569517802 -0.9830378604
## 484 1 -1.318214773 1.976303610 0.201731755 -0.2684015238
## 485 1 0.361009385 1.032882869 0.362646310 -0.8526734757
## 486 1 2.419910959 -0.467962508 1.361856102 -1.6957131333
## 487 1 0.848012547 1.207791455 0.136793317 -0.8840868077
## 488 1 1.928009671 -0.712802251 -0.191821919 -2.1249145430
## 489 1 -0.563124316 0.759359402 0.919304979 -0.2326071543
## 490 1 2.466669285 0.285668989 2.023340128 -2.3178875429
## 491 1 1.689760534 -0.628515953 -0.764243010 0.8730984386
## 492 1 1.383002288 -1.564340592 -0.707637680 -0.6349852108
## 493 1 2.310823507 2.213590654 -0.443856900 2.3661973991
## 494 1 -1.017633122 -0.695649989 -1.620639147 0.6159374994
## 495 1 0.534075967 2.353280633 0.166100274 -0.8657380323
## 496 1 1.802404767 0.654498938 0.111833817 -2.6905861996
## 497 1 -1.519954938 -0.766225511 0.756402636 -0.6577659353
## 498 1 1.835909217 0.435831380 -0.363222262 -0.4702983539
## 499 1 3.899033820 -0.105524086 -0.423141495 -0.5554354590
## PC5 PC6 PC7 PC8 PC9
## 1 -0.849227041 -0.699052021 1.205930605 -0.0112821754 -0.951136304
## 2 -1.543227577 1.082562585 0.297104939 0.6541236384 1.460367449
## 3 -0.406924179 -0.273591462 0.706550772 0.5522400135 -1.108877105
## 4 0.514738888 -0.091488613 0.204189735 -0.1390066316 -0.553897184
## 5 0.784162415 -0.007442173 0.174931051 -0.0237622262 0.877005786
## 6 -0.245668765 3.244907401 -0.956404400 0.8394687744 -1.120187755
## 7 -0.043214444 -1.550747818 -4.296760367 0.1147087503 0.076308038
## 8 0.941381915 0.666348146 -0.343728103 1.6297411962 1.731932503
## 9 -0.874913480 -0.215335983 0.994814738 -0.5639298659 0.873987844
## 10 0.899067779 0.608329214 -0.238916354 1.9414432948 1.427041982
## 11 0.805118711 0.065805170 -0.336648210 -0.4890413812 -0.855734412
## 12 -0.357326944 0.427104111 0.796995802 0.4298004120 0.055732905
## 13 -0.494977091 -0.044086746 0.558356617 -0.3732863063 -0.776472862
## 14 -0.605865256 0.045098985 -0.228437811 -0.9781711635 0.501169299
## 15 1.696106536 0.073182344 -0.369727664 -0.0365622457 0.934173150
## 16 1.414935038 -0.245709946 -0.140319533 1.1591227162 0.374507056
## 17 -0.201299839 -0.398797991 0.456883852 -0.0858875841 0.083961779
## 18 0.841201444 0.512602171 0.170704594 -0.0004955918 0.382520522
## 19 -0.589561666 -0.429100961 0.929421523 0.4311767789 -0.262220124
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## 21 -0.537830784 -0.193753824 0.885351512 0.1195846944 0.061072293
## 22 0.351709034 -0.895024244 0.381810079 0.5727846693 -0.679855018
## 23 -2.051858581 -2.332978115 -3.158205607 -0.2097473786 -0.050156122
## 24 0.374459258 -0.248521806 0.019556817 0.0220025225 0.172054144
## 25 0.308930030 -1.221930984 0.456989018 0.8083529279 -0.422045123
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## 28 -0.727404742 -0.710987617 0.138867438 0.8465962503 -0.021305526
## 29 -0.298555910 -0.232745626 0.528906392 -0.8394357690 0.706465171
## 30 0.658635224 0.102810244 0.103883085 -0.8853212496 1.421099551
## 31 1.892349121 -0.367959544 0.779177212 -1.0893717634 0.004956317
## 32 1.449439776 0.316237226 0.135287421 -0.0233081338 1.484937863
## 33 0.276939083 0.195064195 0.285065150 1.1065987573 0.192843403
## 34 -0.566905743 -0.262124642 0.589675732 1.9197772901 1.012744676
## 35 0.715706105 0.854338132 -0.303084250 -0.9429483833 -0.790164455
## 36 0.898281182 -0.163802839 0.609802385 -0.2978892856 -0.535930757
## 37 -1.208082754 0.474834266 0.893881407 1.4492960692 0.496353661
## 38 0.755669825 0.597975512 0.183755412 -0.4719943581 1.076315718
## 39 0.933948664 0.628780277 0.061877295 0.0614908993 0.983530968
## 40 1.137386903 0.455987337 -0.069377375 0.4566972984 0.145628520
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## 43 0.398232302 1.003456909 -0.260883392 -0.8876550983 1.932669232
## 44 1.184745327 0.572397309 -0.462048509 -0.8924644942 0.897160414
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## 47 0.945867634 0.220362772 0.249164759 0.5277998722 0.886763600
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## 50 -0.239220356 -0.490123612 0.423647696 0.3106337588 -1.648997113
## 51 0.043071162 -0.945079803 -0.010679160 -0.2680787381 -0.920346342
## 52 0.961788224 -0.331716718 0.826981843 0.3155416197 0.106580273
## 53 0.548687229 0.724121906 -0.321829523 -1.4179277915 -0.606651298
## 54 -0.717761570 -0.205244417 0.924439103 -0.5422654654 0.525508203
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## 57 -1.703206521 0.005083927 1.016052971 -0.0275815412 1.601268123
## 58 1.302101211 -0.126085535 -0.339387997 0.0572755296 -0.018378090
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## 72 -0.257188728 0.320961935 0.711165382 1.0878181477 1.429398874
## 73 1.542928528 -0.416457514 0.614165612 1.3736448800 -0.762154159
## 74 0.251233472 0.318772435 0.288581097 0.5863189890 -0.115074344
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## 79 0.921021195 -0.203520518 0.330600794 0.5874042102 1.412074637
## 80 1.205124644 -0.325805652 -0.372964842 -0.8389247736 0.185035389
## 81 -0.473738775 -0.273277212 0.907003386 0.5312185335 -0.259292331
## 82 -0.275718408 -0.220348544 0.476557908 0.8851006124 1.409445784
## 83 -0.182166113 -1.325932301 0.404615706 -0.5178500728 -0.067801966
## 84 0.294705815 -0.583804461 0.164459485 0.8949131846 -0.595342996
## 85 0.583522746 0.438579931 -0.007219941 -1.3755283360 0.300790860
## 86 -0.652624084 -0.107924000 1.096742542 0.0007540630 0.552898942
## 87 -0.774255326 -0.146857943 0.900442801 -0.6904458628 0.758221046
## 88 -0.868905431 1.066095519 0.701588698 -0.6834773050 1.414757131
## 89 -1.613982592 1.926358944 -0.352094606 1.0505612383 -2.612703283
## 90 -0.342065274 3.727106767 -1.410372949 1.5989389453 -1.003682439
## 91 1.367277530 -0.386739652 -0.515628703 -0.4418871335 0.272410240
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## 103 -0.316408359 0.473123765 0.676651610 -0.0948219799 0.365913953
## 104 1.311983601 0.120482473 0.309318311 -0.2642106223 -0.566050182
## 105 0.062068371 0.282923159 0.208901263 -0.3171749490 0.661665429
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## 108 0.447889435 0.440461148 0.461753353 -0.0126865674 0.915454744
## 109 -0.103405914 0.404366011 0.221388577 0.8437678126 0.144800577
## 110 0.361787763 0.052036591 -0.075430151 1.0890063344 1.191940516
## 111 0.830432859 -0.125516910 0.152373343 0.1996052064 0.534582056
## 112 0.963394625 0.854947180 -0.310389296 1.8276489000 1.408901491
## 113 0.920199148 -0.368602280 -0.273506261 -1.2376118146 0.512655799
## 114 0.799041252 -0.394659972 0.055363247 -0.5101268171 -0.183205618
## 115 -0.559088409 -1.333410806 0.991763475 1.1553908560 -0.430207372
## 116 -0.231837955 0.383357368 0.714768848 0.4667869206 -0.029027052
## 117 1.169901753 -0.019293450 0.030593244 0.8404022482 0.809024234
## 118 0.746106047 0.629103798 -0.293507026 1.1387468848 0.962283856
## 119 -1.174320219 0.220619460 0.771625682 1.4078144052 -0.061400145
## 120 0.426229760 0.586813590 -0.023255880 0.9616176689 2.051815759
## 121 2.062235997 0.430676950 0.301759660 0.4068413484 0.398363802
## 122 -0.179930632 3.955003607 -0.247527927 -1.2830905199 -1.349016689
## 123 -0.007595822 -0.349278469 0.700472604 0.1453409104 0.117234501
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## 125 -0.419723341 0.453440084 0.798767765 0.0699853621 0.578316236
## 126 0.604815104 0.492992378 0.339070803 0.0140463658 0.620335467
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## 130 0.751024613 0.331753193 0.287294800 0.3461139690 0.260639689
## 131 2.419631895 -0.905027908 0.266047371 -0.5038533474 -0.443934252
## 132 -0.586347669 0.196281790 0.890730514 -0.1089235743 0.247239989
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## 134 1.522377436 0.151894078 -0.684170894 -0.4332166982 0.185664451
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## 368 0.485434329 -0.691514569 -0.331583096 -0.9766159255 0.025548793
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## 380 1.255753751 -0.198933980 -0.528849124 -0.2067306783 -0.416450529
## 381 0.288769651 1.119789361 0.776487949 -1.2503075040 -0.629612342
## 382 0.379694398 0.123221300 1.245468037 -2.5723258673 -1.451778946
## 383 1.454304985 -0.360710452 -0.144773046 -2.0950025548 -1.029651367
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## 387 0.100157911 -0.741743143 0.059354879 0.0216244140 -0.698583092
## 388 1.927227401 0.395774142 -1.356188701 1.6037532687 0.631806744
## 389 0.996622262 0.339777713 -0.347411600 2.4726969740 0.341414318
## 390 0.660338087 -0.597366017 0.970734624 -1.8028337806 -1.118239575
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## 415 1.084103418 0.385055498 0.630416358 -0.5510937708 0.181331425
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## 417 -0.056293673 -0.457180800 0.442290318 0.1911841203 0.223479633
## 418 0.166493471 -0.132964814 0.817084369 1.1112663957 1.250054785
## 419 1.251669129 0.710958261 -0.664684754 -0.3966598722 -0.860433991
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## 422 0.023963688 -0.246758479 0.237061352 -0.3332948353 0.256445947
## 423 1.363661153 -0.767067298 -0.254329770 0.1239072111 -0.404761384
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## 431 0.855793081 0.405498892 0.174616896 0.0880193831 0.450815554
## 432 0.381322923 0.353099336 -0.334650257 0.1905461554 0.720305798
## 433 0.741015766 -1.163496864 0.167083207 0.1535673875 -1.297846357
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## 436 -1.877362792 -1.323805941 1.467581078 2.0537592855 -0.134098485
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## 438 1.066793671 0.055459868 -0.273582377 -0.4275376060 0.206083099
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## 440 0.435726024 -0.810434615 -0.226350902 -0.4735737202 -0.395841528
## 441 0.456574126 -0.066153332 -0.297931187 -0.2227371446 -1.016862477
## 442 -0.240266431 -0.019878982 0.083412498 1.5133598265 -0.854816608
## 443 0.200099994 -0.379401087 -0.181140905 0.1155466053 0.824139936
## 444 -2.051998103 1.783772803 0.302164339 -0.4773764193 1.317067729
## 445 -3.232748620 0.659393482 0.793912499 -0.8691863389 0.713711696
## 446 2.106583484 -0.314053852 -0.778555911 -0.4014396190 0.246232718
## 447 -1.512590931 0.548793958 0.294312059 0.0932835331 2.053964645
## 448 -0.120979459 -1.654325477 0.315797255 0.4601942443 -1.174320773
## 449 -2.731210916 0.903086852 1.000171932 -1.4367506776 1.010691366
## 450 1.381411502 -0.187656057 -0.578855658 2.4274228902 1.272061351
## 451 -0.372779576 0.452467269 0.455376943 -0.2876506571 0.414722382
## 452 -0.394542593 0.217665041 0.538428276 -0.8192375581 0.719403134
## 453 0.361159982 -1.051931076 -0.163110643 -0.4347668561 -0.340412847
## 454 0.687421400 -0.304689743 0.084186577 -0.9774225195 0.336644491
## 455 -1.291603261 0.796737244 -0.234585116 0.4740311202 1.398534027
## 456 1.613344373 0.112337240 0.177400347 -0.5549209246 -1.026392282
## 457 -2.025080103 0.519943150 0.017655775 0.9269519840 0.779933330
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## 460 2.096372206 -0.780540175 -0.146312570 -0.4194713392 0.052832283
## 461 0.119217751 0.861546417 -0.428043287 0.3239001757 -0.138428751
## 462 1.611701713 0.261546498 -0.541644795 -1.7805527831 1.338671341
## 463 -0.543073043 -0.002543948 0.236349513 0.8527779262 -0.976126092
## 464 -1.539036638 -1.447870619 0.796507804 0.1198723238 -0.160968241
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## 467 0.567589940 -0.619127597 0.229149092 -1.0156279911 0.051576586
## 468 1.655556049 -0.383812181 -0.721514528 -0.7641350287 0.808561050
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## 475 -0.046492162 0.098335601 -0.359437615 1.1743983763 0.310085782
## 476 0.441310129 -0.113977635 -0.390024406 0.3223171745 0.718505221
## 477 0.968385204 0.331371306 -0.539446311 -1.2285979858 -0.132958952
## 478 1.172894152 -0.705202043 -0.423852724 -0.9839585095 0.834705815
## 479 1.331831889 2.246847233 -0.942178327 -0.7100563737 -1.933861438
## 480 0.027644080 -0.642713173 0.510054073 0.5411217914 -0.648731719
## 481 0.724664191 0.107365823 -0.661696620 -0.0396350702 -0.033311784
## 482 -1.452424120 0.283436667 0.428801526 0.0152108266 1.367414993
## 483 0.607818682 0.065400487 0.090158465 -0.5254960923 -0.177935666
## 484 0.790390412 0.092906489 0.061647983 -0.0521118436 -0.592007983
## 485 -1.222651324 -0.531949195 0.721855476 1.5371275051 -1.026919595
## 486 -0.239946023 -1.012445984 0.169653265 0.6815610725 0.784833196
## 487 -1.140291698 -0.720914426 0.662413186 1.6026673024 -1.266610191
## 488 -1.303625077 -1.103671226 0.479647023 0.1349428804 0.104864287
## 489 -1.847350616 -1.981092306 -4.112394400 0.8408855525 -0.504793020
## 490 -0.081514443 -0.481504071 0.145646764 0.7202406335 0.675654032
## 491 -1.825410930 1.286562053 0.571081315 -3.0045908425 2.200112545
## 492 0.570465104 -0.902497916 -0.187893628 -0.6553447474 -0.159320534
## 493 -1.968676178 0.939123331 0.395336650 0.5945369778 1.135394818
## 494 0.445560536 -0.478821327 0.009144093 0.4088724608 -0.139362745
## 495 -0.073079626 1.132293919 -0.242035975 -0.1600572798 -0.063539472
## 496 1.041598372 0.375523152 -0.638876224 -0.4122664536 0.842437946
## 497 0.338747875 0.087127323 0.517119986 -1.0680172500 1.613468206
## 498 2.853131913 0.147861559 -1.086699708 -0.5832488993 -0.327562849
## 499 -1.196637653 -0.842538598 0.222271008 0.3186220417 -0.854300824
## PC10 PC11 PC12 PC13 PC14
## 1 0.06884376 1.3542167075 -0.8390318782 -1.335221239 -0.653479827
## 2 -1.97080227 1.1119057703 0.8050495986 0.122044327 0.187913164
## 3 0.39950143 0.8047119226 -0.1774440450 1.735491254 0.062404790
## 4 -1.06358860 0.4923129469 -0.3571799061 -0.104640411 0.012379354
## 5 -0.34335305 -0.6793533175 -0.6529626298 0.195948672 0.943956948
## 6 -0.32854440 0.0920774460 -0.3891777643 -1.414937674 0.473655936
## 7 0.11264444 -0.1403325526 0.6861576912 1.947408696 -0.381963997
## 8 0.91501294 -0.1273500471 0.4444874767 -0.064070801 -0.648846009
## 9 0.30262761 -0.2185516073 -0.5265172401 -0.721515723 0.184645475
## 10 0.87908444 -0.1475182801 0.3546807726 -0.156753465 -0.507987500
## 11 0.40248378 -1.1500378056 -0.9664273280 -0.756378824 0.770790917
## 12 0.81961391 0.6229115273 0.3692609465 -0.681177690 -0.645329985
## 13 -0.05733289 0.9589931767 0.4155300305 -1.004390277 -0.396077643
## 14 1.05301116 0.5629572594 1.1832388210 0.891912349 1.105293361
## 15 0.04313794 -0.7580146110 -0.4245826202 1.238923011 -1.336075334
## 16 -0.30153308 -0.2752851337 -0.6342422588 0.038063559 0.650813121
## 17 0.38131272 -0.0303815755 -0.2276836198 0.555492026 0.638177913
## 18 -0.01634302 -0.0001096449 -0.1311612888 1.165236566 -0.257115813
## 19 -0.18283428 -0.2276386065 -0.2716628718 -0.027488004 0.125562659
## 20 -0.79384875 0.5900361064 -0.3955407747 -0.552963079 -0.756706581
## 21 0.06754989 -0.3618281726 -0.0995618058 -0.308617108 -0.010599219
## 22 -0.66328922 1.2416785196 -1.9296164691 -0.316941644 0.473586995
## 23 -0.15708257 -0.6517964559 0.3916285650 0.437846597 -0.194436931
## 24 0.88183175 0.0930029515 0.0722223406 0.542685457 0.742737219
## 25 0.83528632 0.6539650679 -1.4120948005 1.137746124 -0.262194529
## 26 0.95304256 0.9610677650 0.3392853842 0.363601821 0.392254411
## 27 -1.85433762 -1.4388112119 0.2947098666 -0.240396086 -0.042407846
## 28 -0.09182902 -0.1904098695 0.4618737983 -0.810035489 0.801402904
## 29 0.70851161 -0.0861874859 -0.2253184655 0.306845650 0.670217213
## 30 -0.05023004 -0.7354258530 -0.7295878981 0.465209606 1.187560482
## 31 -1.17931716 -0.3410652176 0.9248756130 -0.843890573 -1.696573356
## 32 0.07933644 -0.7417956391 -0.1924596310 -0.691507400 -1.177244687
## 33 1.41957724 1.3240225724 0.1459418445 -1.152195068 0.094129511
## 34 0.59398886 -0.6363827613 0.2013398294 -0.853389892 -1.541378698
## 35 0.92326005 -0.5647101277 -0.2781497714 -0.413960054 -0.166268715
## 36 0.36602658 -0.0557013033 1.6127275983 0.817604676 0.742013543
## 37 0.70035301 -0.1473745585 1.0210664472 -0.386338335 -0.379961410
## 38 0.27870682 0.0545683199 -0.3405148813 0.729673617 -0.569399881
## 39 0.47137835 0.2926528023 -0.2057410002 -0.040422226 0.394097792
## 40 0.15302947 0.2496095897 -0.0084896256 1.016777983 0.561339268
## 41 0.18202014 -0.3415868702 0.3674537160 0.386789037 0.483660330
## 42 0.60965752 0.7419103638 0.1343991905 0.423326385 -0.147659080
## 43 0.30232297 -0.7743143786 0.9448473759 -0.546705582 -2.087135617
## 44 0.37094486 0.6996024208 0.1386716838 -1.552192680 0.775046538
## 45 -0.80939690 -0.0257465232 -0.0532927218 -0.631829695 0.238653123
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## 47 -0.28029578 -0.7719913054 -0.3918782250 -0.860040408 0.400716265
## 48 0.44469128 -0.1415355327 0.1494277456 0.312059750 0.051668201
## 49 1.18055118 1.0351374441 0.0842553025 -1.032585112 0.042572684
## 50 -0.50053903 1.1461639339 0.2696271483 0.202237419 -0.748034704
## 51 -0.22943167 0.5914574471 -0.1805550956 -0.130799356 1.232288730
## 52 0.02221850 0.8050018606 -0.8285746824 0.958237627 0.021691457
## 53 0.94510976 -0.4823485703 -0.5196757316 0.091033423 0.185206160
## 54 0.21745043 -0.3111851965 -0.2682652932 -0.191064621 0.242432434
## 55 -0.15848762 -0.3758644789 0.2744836298 0.589152917 -0.102375631
## 56 0.54805769 -0.2102820829 1.1897721774 0.968486339 -0.408075652
## 57 0.43762819 -1.1145202622 0.2244600071 -0.329637050 0.462111227
## 58 -0.78099884 -0.3011498706 -0.0315582847 -1.402890906 1.006464704
## 59 -0.63309884 -1.4242167006 0.1433279998 0.097917037 -0.294035807
## 60 -0.40171128 0.4003121787 0.5322677799 0.238867126 0.232023420
## 61 -0.38169677 0.5913373055 -1.3722988555 1.093437443 0.058265384
## 62 0.33278925 0.0676647440 0.4394543802 0.145957429 0.990822504
## 63 -0.19541383 -1.6661235844 -1.1075055408 -0.675451505 -0.843087358
## 64 0.23016305 0.6322992966 1.2426953838 1.685538826 -0.098344647
## 65 0.93547567 0.7187123246 0.0497947336 -0.703424821 -0.494030761
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## 68 0.63173115 -0.8312379073 -0.4447912377 -0.341236761 0.110573014
## 69 -0.15042372 0.2625753518 -0.2947427427 -0.627647372 0.080097572
## 70 0.65504750 -0.3665735814 -0.4097206373 -0.108628198 0.073184223
## 71 0.83222838 0.8001178223 -0.1749297355 -0.550125777 -0.532334611
## 72 -0.69047327 -1.8065275622 0.2867300611 -0.478050831 0.173049578
## 73 -0.62207341 0.3738386048 1.4043490582 0.204927754 -1.398477383
## 74 1.15157060 0.8742485773 0.4731417228 0.069473988 -0.560662688
## 75 0.56588720 0.3654570487 -0.2496111110 1.316868638 0.004635775
## 76 -0.78894545 -0.4344614023 -0.3492317218 -0.026821200 -1.065953840
## 77 -0.35477613 -0.7275441550 -0.0414542095 -0.570086279 -0.127894943
## 78 1.23714713 0.9297846529 0.1809572905 0.776205175 0.297363806
## 79 -0.02385898 -0.3629181709 -1.4172229605 -1.002155797 -0.837914492
## 80 -0.91283655 -0.4405288837 -0.3883241462 0.198186409 -0.239873063
## 81 -0.10023836 -0.3312227973 -0.0661387828 -0.305498675 -0.084459534
## 82 -0.07484816 -1.3433034846 -0.8671931350 0.549879495 1.041441366
## 83 0.30872474 0.7202236360 -1.7650286667 -0.456433381 -1.607563782
## 84 0.36027315 0.2649286247 -0.0595111807 0.665498214 1.085266110
## 85 -0.47270748 0.1637868376 0.0730884302 -0.109257381 0.046587021
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## PC15
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## 490 -0.277005999
## 491 0.899001459
## 492 0.158422637
## 493 0.851133117
## 494 0.014909814
## 495 -0.396007604
## 496 -0.186283129
## 497 0.590072028
## 498 0.093281795
## 499 -0.164573289# Means of scores for all the PC's classified by Survival status
tabmeansPC <- aggregate(Diabetestyp_pca[,2:6],by=list(Diabetes_binary=Diabetes$Diabetes_binary),mean)
tabmeansPC## Diabetes_binary PC1 PC2 PC3 PC4 PC5
## 1 0 -0.8720678 -0.1430462 0.2426619 0.1905896 0.08409846
## 2 1 0.8685795 0.1424740 -0.2416912 -0.1898272 -0.08376206tabmeansPC <- tabmeansPC[rev(order(tabmeansPC$Diabetes_binary)),]
tabmeansPC## Diabetes_binary PC1 PC2 PC3 PC4 PC5
## 2 1 0.8685795 0.1424740 -0.2416912 -0.1898272 -0.08376206
## 1 0 -0.8720678 -0.1430462 0.2426619 0.1905896 0.08409846tabfmeans <- t(tabmeansPC[,-1])
tabfmeans## 2 1
## PC1 0.86857953 -0.87206780
## PC2 0.14247397 -0.14304615
## PC3 -0.24169123 0.24266187
## PC4 -0.18982724 0.19058960
## PC5 -0.08376206 0.08409846colnames(tabfmeans) <- t(as.vector(tabmeansPC[1]$Diabetes_binary))
tabfmeans## 1 0
## PC1 0.86857953 -0.87206780
## PC2 0.14247397 -0.14304615
## PC3 -0.24169123 0.24266187
## PC4 -0.18982724 0.19058960
## PC5 -0.08376206 0.08409846# Standard deviations of scores for all the PC's classified by Survival status
tabsdsPC <- aggregate(Diabetestyp_pca[,2:16],by=list(Diabetes_binary=Diabetes$Diabetes_binary),sd)
tabfsds <- t(tabsdsPC[,-1])
colnames(tabfsds) <- t(as.vector(tabsdsPC[1]$Diabetes_binary))
tabfsds## 0 1
## PC1 1.5651494 1.5068047
## PC2 1.2485808 1.2457169
## PC3 1.0585086 1.1186557
## PC4 1.0379513 1.0806399
## PC5 0.9326077 1.0935561
## PC6 1.0769807 0.9345409
## PC7 1.0861529 0.8654565
## PC8 0.8374170 0.9940173
## PC9 0.8472220 0.9527779
## PC10 0.7868442 0.8794344
## PC11 0.7517034 0.8597312
## PC12 0.7093162 0.8001453
## PC13 0.7601934 0.6799042
## PC14 0.6894095 0.6390050
## PC15 0.5822395 0.6003592t.test(PC1~Diabetes$Diabetes_binary,data=Diabetestyp_pca)##
## Welch Two Sample t-test
##
## data: PC1 by Diabetes$Diabetes_binary
## t = -12.655, df = 496.13, p-value < 2.2e-16
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
## -2.010899 -1.470395
## sample estimates:
## mean in group 0 mean in group 1
## -0.8720678 0.8685795t.test(PC2~Diabetes$Diabetes_binary,data=Diabetestyp_pca)##
## Welch Two Sample t-test
##
## data: PC2 by Diabetes$Diabetes_binary
## t = -2.557, df = 496.98, p-value = 0.01085
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
## -0.50490526 -0.06613497
## sample estimates:
## mean in group 0 mean in group 1
## -0.1430462 0.1424740t.test(PC3~Diabetes$Diabetes_binary,data=Diabetestyp_pca)##
## Welch Two Sample t-test
##
## data: PC3 by Diabetes$Diabetes_binary
## t = 4.968, df = 495.7, p-value = 9.33e-07
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
## 0.2927982 0.6759080
## sample estimates:
## mean in group 0 mean in group 1
## 0.2426619 -0.2416912t.test(PC4~Diabetes$Diabetes_binary,data=Diabetestyp_pca)##
## Welch Two Sample t-test
##
## data: PC4 by Diabetes$Diabetes_binary
## t = 4.0104, df = 496.35, p-value = 6.994e-05
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
## 0.1940465 0.5667872
## sample estimates:
## mean in group 0 mean in group 1
## 0.1905896 -0.1898272t.test(PC5~Diabetes$Diabetes_binary,data=Diabetestyp_pca)##
## Welch Two Sample t-test
##
## data: PC5 by Diabetes$Diabetes_binary
## t = 1.8451, df = 485.5, p-value = 0.06563
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
## -0.01089292 0.34661396
## sample estimates:
## mean in group 0 mean in group 1
## 0.08409846 -0.08376206## F ratio tests
var.test(PC1~Diabetes$Diabetes_binary,data=Diabetestyp_pca)##
## F test to compare two variances
##
## data: PC1 by Diabetes$Diabetes_binary
## F = 1.0789, num df = 248, denom df = 249, p-value = 0.5496
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 0.8409479 1.3843746
## sample estimates:
## ratio of variances
## 1.078941var.test(PC2~Diabetes$Diabetes_binary,data=Diabetestyp_pca)##
## F test to compare two variances
##
## data: PC2 by Diabetes$Diabetes_binary
## F = 1.0046, num df = 248, denom df = 249, p-value = 0.9711
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 0.7830078 1.2889931
## sample estimates:
## ratio of variances
## 1.004603var.test(PC3~Diabetes$Diabetes_binary,data=Diabetestyp_pca)##
## F test to compare two variances
##
## data: PC3 by Diabetes$Diabetes_binary
## F = 0.89536, num df = 248, denom df = 249, p-value = 0.3843
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 0.6978585 1.1488198
## sample estimates:
## ratio of variances
## 0.8953563var.test(PC4~Diabetes$Diabetes_binary,data=Diabetestyp_pca)##
## F test to compare two variances
##
## data: PC4 by Diabetes$Diabetes_binary
## F = 0.92255, num df = 248, denom df = 249, p-value = 0.5257
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 0.7190572 1.1837173
## sample estimates:
## ratio of variances
## 0.9225544var.test(PC5~Diabetes$Diabetes_binary,data=Diabetestyp_pca)##
## F test to compare two variances
##
## data: PC5 by Diabetes$Diabetes_binary
## F = 0.7273, num df = 248, denom df = 249, p-value = 0.01236
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
## 0.5668751 0.9331939
## sample estimates:
## ratio of variances
## 0.7273039# Plotting the scores for the first and second components
plot(Diabetestyp_pca$PC1, Diabetestyp_pca$PC2,pch=ifelse(Diabetestyp_pca$Diabetes_binary == "S",1,16),xlab="PC1", ylab="PC2", main="49 Diabetes against values for PC1 & PC2")
abline(h=0)
abline(v=0)
legend("bottomleft", legend=c("Diabetic","Non-Diabetic"), pch=c(1,16))
plot(eigen_Diabetes, xlab = "Component number", ylab = "Component variance", type = "l", main = "Scree diagram")
plot(log(eigen_Diabetes), xlab = "Component number",ylab = "log(Component variance)", type="l",main = "Log(eigenvalue) diagram")
print(summary(Diabetes_pca))## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Standard deviation 1.7647 1.2541 1.11464 1.07548 1.01888 1.00936 0.98163
## Proportion of Variance 0.2076 0.1048 0.08283 0.07711 0.06921 0.06792 0.06424
## Cumulative Proportion 0.2076 0.3125 0.39528 0.47239 0.54160 0.60952 0.67376
## PC8 PC9 PC10 PC11 PC12 PC13 PC14
## Standard deviation 0.91875 0.90107 0.83554 0.80717 0.75555 0.7204 0.66399
## Proportion of Variance 0.05627 0.05413 0.04654 0.04344 0.03806 0.0346 0.02939
## Cumulative Proportion 0.73003 0.78416 0.83071 0.87414 0.91220 0.9468 0.97619
## PC15
## Standard deviation 0.59765
## Proportion of Variance 0.02381
## Cumulative Proportion 1.00000diag(cov(Diabetes_pca$x))## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8
## 3.1141387 1.5726732 1.2424327 1.1566511 1.0381229 1.0188088 0.9635902 0.8440998
## PC9 PC10 PC11 PC12 PC13 PC14 PC15
## 0.8119361 0.6981272 0.6515293 0.5708524 0.5189659 0.4408837 0.3571881xlim <- range(Diabetes_pca$x[,1])
Diabetes_pca$x[,1]## [1] -0.606240531 0.352807562 -2.178113675 -0.926465857 -1.818475684
## [6] -2.163596044 -2.169569628 0.410018794 -2.255473061 -0.015428398
## [11] 0.823915461 -3.359160479 -1.935232397 1.177495858 -0.889377976
## [16] -0.912251229 -1.738441113 -2.320801387 -2.528846362 0.342525268
## [21] -3.015466346 1.038127484 -2.940616400 -1.644467931 0.791264060
## [26] -2.097172293 -0.474682328 0.961013814 -1.651639608 -1.632691189
## [31] 1.704135781 -1.361771076 -1.778087810 -0.036878893 -0.123794448
## [36] -1.195731733 -2.190642492 -1.870313226 -2.090087049 -2.171239633
## [41] -2.129855827 -2.523281797 -0.357933376 -1.104995565 -1.591538264
## [46] 0.434295880 -2.671945733 -2.091202644 -2.254899214 -0.878134388
## [51] -0.021011650 0.834590864 0.524582441 -2.470454763 -2.467441524
## [56] -1.987414713 -1.387549504 -1.390369653 -3.264509549 3.088994827
## [61] -0.143569338 2.047436690 -0.096600756 -1.630750928 -2.845029164
## [66] 3.242622839 -1.681017891 -0.694000679 -0.690127562 -2.228591931
## [71] -2.661473973 -1.781969331 3.730056691 -2.439695549 -0.178500718
## [76] 0.038640360 -1.734280525 -1.811395539 -0.588754215 -0.139242711
## [81] -3.057085303 -0.344622830 1.640178510 -1.411764499 -1.735237498
## [86] -2.857191161 -2.530563661 4.390366151 1.947730145 -0.816890241
## [91] 0.254945832 -2.390543199 2.885642134 -2.664593794 2.576103208
## [96] -1.808863748 -1.376807675 -2.353607923 -1.034724763 -1.268043388
## [101] 1.404555441 0.654684080 -3.026724937 4.161152579 -1.442872036
## [106] 1.784056713 -1.783712826 -1.948970227 -0.951160944 0.772646639
## [111] -1.709492881 -0.793878346 0.139798601 -0.779046200 -0.026950229
## [116] -3.116399073 -1.742698849 0.012364592 -1.725964768 -1.581609441
## [121] 0.147873526 -1.683501360 -1.628576805 -1.589753545 -2.854180917
## [126] -2.264444604 0.431575684 -0.742633888 -2.598843801 -1.944399388
## [131] 3.472329321 -2.249828647 -1.994339942 0.188427628 -2.803936962
## [136] 1.035595103 -1.671824636 -0.346170376 -2.557398366 -1.394396275
## [141] 2.583933566 -0.580435542 -0.849555175 0.899210334 -2.157228259
## [146] -3.086308797 -1.243519253 -0.701617729 0.317352103 -3.110998303
## [151] 0.078495165 1.357741720 -1.688823044 -2.611716246 -0.545398472
## [156] -1.454176234 0.484732685 -0.803888282 -1.751222071 -0.849667858
## [161] -2.295745564 -1.315602022 -2.967411166 2.195659364 -1.799640531
## [166] -2.267499864 -2.438326584 -0.546921486 0.102371470 -2.061535045
## [171] 0.883143650 -0.356799882 -1.755012468 -2.894482756 -0.923883713
## [176] -1.478856550 -1.805528690 -0.422256543 -1.020058776 -1.556605309
## [181] 3.297043938 -1.788449506 -0.756377615 -0.570563606 -0.257019080
## [186] -0.271171925 -0.763464412 -0.883916741 -3.017321856 0.611986059
## [191] -2.086475486 2.428000404 -0.520185212 2.207916216 -2.326459486
## [196] -0.521215600 0.607865029 -1.291605708 -1.051226094 3.049655649
## [201] -1.464700168 -1.493422839 0.508442506 0.553542092 -1.393643797
## [206] -1.269006440 -1.666597493 -2.541970336 -0.008667450 -0.733884653
## [211] 0.608717580 -0.062193723 0.572044587 0.982273549 0.882623294
## [216] -2.117010028 -0.256692316 -2.732321561 -1.846751940 -1.043470353
## [221] -2.382000805 1.144857550 -1.531959612 -1.845478412 -2.067526697
## [226] -2.418598931 -0.822216458 -0.870883801 -0.576904708 -1.163941312
## [231] 3.038055583 0.383520505 -0.444997077 -0.956829210 -1.807362784
## [236] -2.378991971 -2.274945670 -1.970890979 0.912621163 0.831456232
## [241] -2.631392943 0.627074325 -2.755005427 -2.883203322 -1.447274453
## [246] -1.679519748 -1.112149620 -1.013524437 -0.991118281 4.428265216
## [251] -1.614350416 0.880246262 -1.875303944 -0.714789462 2.334774276
## [256] 2.552811445 1.944551322 1.445789756 1.094230151 1.237333632
## [261] 2.529184930 2.569047517 0.190814865 0.790737539 1.110053840
## [266] -1.119104859 -1.357124742 0.616068372 1.310460566 0.458935894
## [271] -0.996924504 2.140230215 4.457069978 -0.666539959 -1.541869231
## [276] -0.143239703 -0.501110874 -0.107107881 -0.561078551 -1.396723892
## [281] 0.646480535 -0.439698862 1.370494088 0.695394229 0.165762902
## [286] -0.147980407 0.734673295 0.438006650 -0.829013043 2.833537970
## [291] 0.201216164 0.107365207 0.004486861 3.839594442 2.409949802
## [296] -0.129783177 2.705561285 -0.122989304 2.486750398 -1.263723371
## [301] 0.247663844 -1.615147588 0.788147811 -0.145496013 0.374167504
## [306] 0.216686851 -0.970090272 1.011360802 0.335455960 0.779038416
## [311] 1.239550895 -0.619765407 -1.085765196 1.252051299 1.576130020
## [316] -1.724178861 2.928234792 2.337052664 1.186018770 1.395664161
## [321] 0.570207924 2.681061281 3.124464720 3.293343026 2.483991926
## [326] 0.610662789 0.249460741 1.020133169 0.846768298 0.131310551
## [331] 4.323580385 3.365603536 1.081331546 1.392871180 1.558711110
## [336] 1.358820498 -1.478176356 -0.560862141 1.211323509 3.188982107
## [341] 0.830613036 1.012927695 2.020433744 2.407338547 0.475127038
## [346] -0.213785629 1.558734780 4.227030922 2.656334459 0.726024403
## [351] 3.332928179 2.627044602 0.244983452 -1.188635994 0.440089868
## [356] -2.380575687 2.481286327 0.590847610 0.859674835 1.098708285
## [361] 0.304041016 3.688052904 -1.093890375 1.162007947 0.716305849
## [366] 0.945557309 0.936810306 0.756864170 1.187075542 -0.958304164
## [371] 0.338366666 0.436905369 -1.600906161 -0.606678606 1.522220793
## [376] -0.616819649 0.769372279 -2.022349370 -0.332153197 0.343466327
## [381] 1.959969115 1.096291828 4.788824260 2.953241175 3.953080801
## [386] 1.596020067 -0.507005542 1.767976688 0.037281413 0.842170869
## [391] 0.843783436 -1.934960875 3.069766792 -0.841372906 -1.063573636
## [396] 0.049601141 -1.665456349 4.322602450 1.398007661 4.437649222
## [401] -0.352878266 1.725305338 1.092839134 0.394293776 -1.893315001
## [406] 0.244260942 0.262897634 1.370436207 2.106911367 -1.102330387
## [411] 0.436767359 0.343019654 1.915190881 2.995598088 -0.908553129
## [416] 1.048686817 -1.182920861 0.732075729 0.896131733 -0.016016455
## [421] 1.985146731 1.342184972 0.582869712 1.003746316 -0.170756689
## [426] 0.003398704 -0.806248037 0.172106286 -2.053476354 -0.353274366
## [431] -1.778921791 0.617449086 1.530034315 3.178031465 0.921401559
## [436] 0.645929806 -1.513291067 0.132122691 2.530822040 0.562399002
## [441] -1.123704946 2.899339955 1.447296233 1.327063713 2.165907466
## [446] 1.044641541 1.202873706 1.490951035 -0.108700619 1.683964972
## [451] 1.931366277 -1.473569098 1.364876540 -0.565196904 3.459769850
## [456] -0.059530828 3.684124970 0.477071264 0.867484119 2.690776727
## [461] 1.651209677 -0.418698730 2.515538347 2.432114603 0.415237535
## [466] 1.793212788 0.328231726 1.331171631 2.697729195 0.523474164
## [471] -0.214088712 -0.450705924 0.096310378 0.803328451 0.892743466
## [476] 0.356060813 1.045887851 1.635114048 3.384171406 -1.291011741
## [481] 3.533787560 2.879625120 -0.850903456 -1.318214773 0.361009385
## [486] 2.419910959 0.848012547 1.928009671 -0.563124316 2.466669285
## [491] 1.689760534 1.383002288 2.310823507 -1.017633122 0.534075967
## [496] 1.802404767 -1.519954938 1.835909217 3.899033820Diabetes_pca$x## PC1 PC2 PC3 PC4 PC5
## [1,] -0.606240531 -0.398177515 2.391958872 -0.2383106771 -0.849227041
## [2,] 0.352807562 2.830353077 0.002293405 0.3251954957 -1.543227577
## [3,] -2.178113675 1.159551255 0.002062511 0.1841974664 -0.406924179
## [4,] -0.926465857 1.912889526 0.678087521 -0.5739676536 0.514738888
## [5,] -1.818475684 -0.049966573 -0.037373299 0.3764022678 0.784162415
## [6,] -2.163596044 -3.776800002 0.374854500 1.2299026639 -0.245668765
## [7,] -2.169569628 1.584375518 0.934135847 1.1467231594 -0.043214444
## [8,] 0.410018794 -0.244220845 0.708821575 -0.8335133071 0.941381915
## [9,] -2.255473061 -1.532074349 0.440338251 -0.2104653518 -0.874913480
## [10,] -0.015428398 -0.071476543 0.881305129 -0.3898030050 0.899067779
## [11,] 0.823915461 1.518058248 -0.931243547 1.2415755698 0.805118711
## [12,] -3.359160479 -0.152943084 0.736066936 0.4546072340 -0.357326944
## [13,] -1.935232397 0.678628476 0.298886842 -0.6341401395 -0.494977091
## [14,] 1.177495858 0.074250873 -0.021325458 -3.8360558955 -0.605865256
## [15,] -0.889377976 -0.320872696 -1.456080424 0.4881671112 1.696106536
## [16,] -0.912251229 -0.015763802 -0.631110084 1.5237722632 1.414935038
## [17,] -1.738441113 -0.697026763 -0.879499871 0.1992750422 -0.201299839
## [18,] -2.320801387 1.317180255 0.440297993 -0.1961042303 0.841201444
## [19,] -2.528846362 -0.440392279 -0.484142286 1.0442640296 -0.589561666
## [20,] 0.342525268 -1.420096473 0.714265293 -1.2900570223 -1.367258714
## [21,] -3.015466346 -0.718654644 -0.403400036 0.8535263483 -0.537830784
## [22,] 1.038127484 1.079553946 2.160644012 -0.4933776094 0.351709034
## [23,] -2.940616400 -0.483146821 0.763133788 1.6755372819 -2.051858581
## [24,] -1.644467931 -0.890240937 -1.396780233 0.3230041143 0.374459258
## [25,] 0.791264060 -1.616856831 -0.107904756 0.9238608396 0.308930030
## [26,] -2.097172293 0.069325402 0.398220866 -0.0126187072 -0.075461614
## [27,] -0.474682328 1.419714227 -0.643430572 0.1238195558 -0.100607637
## [28,] 0.961013814 -0.590986484 -0.832699432 -1.0518672709 -0.727404742
## [29,] -1.651639608 -1.403389957 -0.255879115 -0.5217829965 -0.298555910
## [30,] -1.632691189 -0.377051615 0.159385549 -0.6877574285 0.658635224
## [31,] 1.704135781 -2.164982745 1.656040529 1.4758181910 1.892349121
## [32,] -1.361771076 -1.469442667 0.147203074 0.9989437926 1.449439776
## [33,] -1.778087810 -0.784948456 0.695934712 0.6764068099 0.276939083
## [34,] -0.036878893 -1.966125490 -0.336146676 0.4876191828 -0.566905743
## [35,] -0.123794448 2.470797244 -0.066397476 0.2080989751 0.715706105
## [36,] -1.195731733 -1.476909516 -0.467396531 1.6590965153 0.898281182
## [37,] -2.190642492 -0.006794962 0.893728613 -0.5237881368 -1.208082754
## [38,] -1.870313226 0.547837097 0.928549178 -0.8403512741 0.755669825
## [39,] -2.090087049 0.471952090 1.119812203 -0.3084049804 0.933948664
## [40,] -2.171239633 1.446853098 0.242581082 0.1839560441 1.137386903
## [41,] -2.129855827 -0.838105324 0.844233475 1.3860766855 -1.802532550
## [42,] -2.523281797 0.341560385 0.438992299 -0.0852170308 -0.465179351
## [43,] -0.357933376 0.037659480 0.576466477 -3.0074346136 0.398232302
## [44,] -1.104995565 0.361425481 0.967422919 -1.4551350126 1.184745327
## [45,] -1.591538264 0.112916916 -0.840580130 -0.2352210252 -0.675480931
## [46,] 0.434295880 -1.589273150 1.308210576 0.8172830145 0.325218741
## [47,] -2.671945733 -0.319568428 0.104285728 1.3133139165 0.945867634
## [48,] -2.091202644 -0.872289105 -1.012620173 0.7748441511 0.093833084
## [49,] -2.254899214 -0.739252648 1.101274569 -0.0159292379 -0.252256799
## [50,] -0.878134388 1.470189969 -0.601158520 -0.0801021844 -0.239220356
## [51,] -0.021011650 -0.005302400 -1.404853976 -0.3089410320 0.043071162
## [52,] 0.834590864 -0.417315288 2.939931546 0.4681054531 0.961788224
## [53,] 0.524582441 2.436572199 0.043712945 -0.5700269952 0.548687229
## [54,] -2.470454763 -1.134212205 0.024439403 -0.0134862709 -0.717761570
## [55,] -2.467441524 -0.485954041 -0.694778037 1.0992146570 -0.270953059
## [56,] -1.987414713 0.796848832 -0.091182111 -0.5010076763 -0.943247535
## [57,] -1.387549504 -1.552782132 0.606928089 -1.6432891717 -1.703206521
## [58,] -1.390369653 0.460850907 -0.730682770 0.6272840900 1.302101211
## [59,] -3.264509549 -0.046106964 1.417001221 1.6847296908 -0.889176457
## [60,] 3.088994827 -0.185924380 2.760913096 -0.6970309121 0.728253743
## [61,] -0.143569338 0.364387021 3.025695360 0.5429814688 0.340223008
## [62,] 2.047436690 -0.577100770 -1.567957456 -1.4643776885 -0.182694209
## [63,] -0.096600756 1.734086549 -0.663235152 1.5892583589 0.289343703
## [64,] -1.630750928 0.207938535 0.641837034 0.3520372553 0.012413351
## [65,] -2.845029164 -0.513618475 1.182463366 -0.1521447367 -0.552552572
## [66,] 3.242622839 -2.029394200 1.830341632 3.5751352480 0.770949705
## [67,] -1.681017891 0.986498165 0.682794823 -1.2862442879 0.963852290
## [68,] -0.694000679 2.592138654 0.560669429 -0.4785484105 0.051024165
## [69,] -0.690127562 -0.566605055 -0.849195501 -0.4892813721 -0.219108844
## [70,] -2.228591931 -1.692364661 0.167537626 -1.1248653201 -0.766711159
## [71,] -2.661473973 -0.359873114 1.244245335 0.1811174059 -0.566171695
## [72,] -1.781969331 -0.257651903 0.687450704 0.1196862702 -0.257188728
## [73,] 3.730056691 -0.726358544 2.617701225 0.9515743710 1.542928528
## [74,] -2.439695549 -0.058043391 -0.107332356 0.4106926735 0.251233472
## [75,] -0.178500718 -0.628523357 -1.969896196 0.7251784543 0.608776384
## [76,] 0.038640360 0.167825198 -1.384302034 -0.2740053592 1.448132137
## [77,] -1.734280525 -0.850648257 0.368110103 1.4676670179 1.224648398
## [78,] -1.811395539 -0.081585182 0.175425615 -0.9461092237 -0.089813549
## [79,] -0.588754215 -1.469039759 0.849188809 0.8958811137 0.921021195
## [80,] -0.139242711 0.487081484 -1.223953428 -0.5577896058 1.205124644
## [81,] -3.057085303 -0.479155398 -0.564721822 1.3459097769 -0.473738775
## [82,] -0.344622830 -0.448822284 1.100266866 -0.8511454998 -0.275718408
## [83,] 1.640178510 -1.877442783 0.113202828 -0.7863296085 -0.182166113
## [84,] -1.411764499 -0.245015010 -1.513446134 1.1898176543 0.294705815
## [85,] -1.735237498 1.440029988 0.628255695 -1.7207906497 0.583522746
## [86,] -2.857191161 -1.547391200 0.457155833 0.8409784817 -0.652624084
## [87,] -2.530563661 -1.296205834 0.119801620 -0.2581973722 -0.774255326
## [88,] 4.390366151 -0.142393231 1.193938080 2.6964968666 -0.868905431
## [89,] 1.947730145 -2.690653586 1.281869023 -0.5479370100 -1.613982592
## [90,] -0.816890241 -0.045470328 0.298567424 -1.2925834993 -0.342065274
## [91,] 0.254945832 0.185179463 -0.957530453 -0.3364926057 1.367277530
## [92,] -2.390543199 0.054539644 0.361740526 0.3652325365 -0.071953781
## [93,] 2.885642134 1.953307583 1.296962070 -0.8852212105 -0.381979125
## [94,] -2.664593794 0.283453501 0.124848436 -0.3325446868 -0.285302652
## [95,] 2.576103208 0.325042883 0.549106714 0.4821520036 -0.530567348
## [96,] -1.808863748 0.053846731 -1.874778296 0.9924474228 0.002813246
## [97,] -1.376807675 -0.876752479 -1.128509078 1.1678901791 0.334271061
## [98,] -2.353607923 -0.253691264 -0.811525060 -0.3154152494 -0.630802790
## [99,] -1.034724763 -0.794762866 -0.851461100 0.1715526566 -0.137812699
## [100,] -1.268043388 -3.673889855 0.601597092 -0.8185845228 -1.710657689
## [101,] 1.404555441 -0.130684788 0.019379515 0.1847125097 -0.872698791
## [102,] 0.654684080 -0.149391390 0.341588253 0.9995112755 -1.355898615
## [103,] -3.026724937 -0.353395563 0.640199687 -0.2055654193 -0.316408359
## [104,] 4.161152579 -1.060125804 1.365196755 1.6451142572 1.311983601
## [105,] -1.442872036 -0.827727702 0.819631000 -0.9660751550 0.062068371
## [106,] 1.784056713 -0.326883881 -0.490750130 -0.3254687765 -0.724536632
## [107,] -1.783712826 0.221220113 -0.871391056 1.3896021524 1.477866334
## [108,] -1.948970227 0.544273766 1.584398637 -0.4126460721 0.447889435
## [109,] -0.951160944 1.819740233 0.691418541 -1.1744493066 -0.103405914
## [110,] 0.772646639 0.188908739 1.680305228 -1.7932047910 0.361787763
## [111,] -1.709492881 0.312250858 -0.312767456 0.5988007679 0.830432859
## [112,] -0.793878346 0.193215549 0.564407852 -0.3075107646 0.963394625
## [113,] 0.139798601 0.247298590 -0.724863070 -1.1840295569 0.920199148
## [114,] -0.779046200 0.866434152 -0.942668213 0.0172144532 0.799041252
## [115,] -0.026950229 -1.352287682 0.724883346 1.0781430348 -0.559088409
## [116,] -3.116399073 -0.084701052 0.467065546 0.4774100985 -0.231837955
## [117,] -1.742698849 -0.475757127 0.156668065 1.3126054954 1.169901753
## [118,] 0.012364592 0.296063473 0.990343944 -0.9297619879 0.746106047
## [119,] -1.725964768 0.781967552 0.252492638 -0.7301602435 -1.174320219
## [120,] -1.581609441 -0.895991463 0.366757932 -0.3520358538 0.426229760
## [121,] 0.147873526 -0.856057007 1.855554391 1.3881977901 2.062235997
## [122,] -1.683501360 -3.653644591 2.795129364 -0.1609395875 -0.179930632
## [123,] -1.628576805 -1.432365478 -0.204278125 0.9527911893 -0.007595822
## [124,] -1.589753545 -0.881332184 1.243319806 1.3507610216 -1.878341721
## [125,] -2.854180917 -0.741177528 1.086621042 -0.0784405597 -0.419723341
## [126,] -2.264444604 0.998472076 1.035742190 -0.2664711191 0.604815104
## [127,] 0.431575684 0.829226451 -2.582503322 0.7352084789 0.245674441
## [128,] -0.742633888 0.009111216 -0.418345027 -0.4448386432 -1.446995879
## [129,] -2.598843801 0.099303135 -1.056448365 0.8377463309 -0.483589855
## [130,] -1.944399388 1.254394641 0.701747929 0.0707114060 0.751024613
## [131,] 3.472329321 -2.108915719 1.435252511 1.4614550157 2.419631895
## [132,] -2.249828647 -0.353146263 1.143217517 -0.3740439865 -0.586347669
## [133,] -1.994339942 1.832077378 0.480576345 -0.0722663644 0.747592022
## [134,] 0.188427628 1.010925025 -0.052114399 -1.1800855322 1.522377436
## [135,] -2.803936962 -0.204523764 -0.804678917 0.9965320092 -0.488903512
## [136,] 1.035595103 2.226956775 1.079373890 0.8164854195 -1.080054913
## [137,] -1.671824636 0.076665990 -0.329999396 0.7803893108 0.950608191
## [138,] -0.346170376 0.861920307 -0.133350560 0.1300820294 1.889317424
## [139,] -2.557398366 0.824601666 0.752026156 0.4062313562 1.116520393
## [140,] -1.394396275 -0.212588952 1.191202093 -0.8995454238 -0.083337627
## [141,] 2.583933566 -1.462638195 0.826134069 3.2416378323 0.607913903
## [142,] -0.580435542 1.038743517 0.677212523 -1.4061559002 0.895995455
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## [145,] -2.157228259 -0.893735977 -0.387216640 1.0056631031 -0.222979151
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## [150,] -3.110998303 -0.946812420 2.624902862 1.0770449361 -1.931482426
## [151,] 0.078495165 2.994125587 0.489930262 0.7383058668 0.135601858
## [152,] 1.357741720 1.116954924 2.495577403 1.4626905239 0.378843740
## [153,] -1.688823044 0.006090956 -0.845882313 0.5531555897 -0.356760303
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## [158,] -0.803888282 1.601413427 0.497685615 -0.5235847468 0.901347313
## [159,] -1.751222071 -0.262367903 -0.716133023 -0.0052585983 0.420972720
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## [163,] -2.967411166 -0.747849910 -0.391587682 0.6629342591 -0.558309178
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## [165,] -1.799640531 -1.723079996 -0.400057155 0.1096315646 0.089145646
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## [171,] 0.883143650 0.511961522 1.161720466 0.3007184118 1.777949260
## [172,] -0.356799882 0.797789859 0.145245829 -1.6067597552 -0.977911266
## [173,] -1.755012468 -0.430409230 -0.427488895 -0.5688187753 -0.744886597
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## [175,] -0.923883713 0.601063567 -1.012393458 -0.5558313106 1.065044018
## [176,] -1.478856550 -0.212091148 -1.268966398 0.1516886139 -0.172850960
## [177,] -1.805528690 -0.014847911 1.661079537 -0.5269836016 1.020245467
## [178,] -0.422256543 -0.627739614 -0.460563085 -1.9893588210 -0.650097859
## [179,] -1.020058776 -0.464222349 -0.989049262 0.0909406158 0.098430529
## [180,] -1.556605309 -2.160786697 0.329640950 0.0632094951 -0.275320543
## [181,] 3.297043938 0.257403752 0.702760923 4.4437413682 -0.535979608
## [182,] -1.788449506 -0.948724811 0.409171943 1.0256007733 1.065664338
## [183,] -0.756377615 0.305357620 0.096031373 -0.4377881033 0.455327950
## [184,] -0.570563606 1.549852982 1.208662360 -0.2808114710 0.724246515
## [185,] -0.257019080 -2.027634499 -0.414398727 0.3124974368 0.227965344
## [186,] -0.271171925 1.821710004 -0.334563507 2.0933860485 0.092486422
## [187,] -0.763464412 -3.580897547 -0.172448510 -0.1829732212 -0.462503137
## [188,] -0.883916741 -1.228277667 4.468215046 1.1017908425 -2.169012564
## [189,] -3.017321856 -0.788395925 0.532573347 1.4905753557 -1.632306063
## [190,] 0.611986059 -0.238083787 2.316491429 1.0489233734 0.928925171
## [191,] -2.086475486 1.458985422 0.759244072 -0.4289296933 0.630661081
## [192,] 2.428000404 0.418572159 -1.462223680 1.7315978535 -2.161625210
## [193,] -0.520185212 0.567388000 1.077594459 -2.9456719155 0.464043608
## [194,] 2.207916216 -2.026086871 1.427852767 0.9251153853 2.087592090
## [195,] -2.326459486 -2.675708313 0.133474200 0.2200661415 -1.215156755
## [196,] -0.521215600 2.642848193 0.738517847 0.4490453776 0.043968259
## [197,] 0.607865029 0.990739780 0.690047346 1.9810030789 -0.628817379
## [198,] -1.291605708 -0.787622292 -0.221818085 0.2529716802 1.328242705
## [199,] -1.051226094 1.105342946 -1.168295658 -0.0544443358 1.029439089
## [200,] 3.049655649 -2.730552238 1.201869965 -3.6041287571 -1.181460483
## [201,] -1.464700168 0.676740148 0.461339376 1.0602982676 -0.046264893
## [202,] -1.493422839 -1.415789249 0.241184125 -0.8103577693 -0.161899727
## [203,] 0.508442506 0.539205813 -2.066455776 0.7948061881 2.196709635
## [204,] 0.553542092 -1.314213338 1.085500527 1.6044330187 1.177093713
## [205,] -1.393643797 0.701025099 0.157018273 -0.6902431701 -0.271712983
## [206,] -1.269006440 -0.345983680 1.128477021 1.8021605504 0.878192624
## [207,] -1.666597493 -0.897277796 0.034401290 -0.1304623806 -0.715315063
## [208,] -2.541970336 0.424683697 -0.173683839 0.1667384009 -0.108617679
## [209,] -0.008667450 0.025044387 -2.382330806 0.0502543901 0.427064954
## [210,] -0.733884653 -1.073001545 0.817052301 1.0032343351 -0.007450741
## [211,] 0.608717580 -0.943132830 0.688260993 1.5849459747 1.268220928
## [212,] -0.062193723 0.357247042 1.069635017 -1.2617246597 -0.557444929
## [213,] 0.572044587 -0.490406239 0.654347667 -0.8256869220 0.692526386
## [214,] 0.982273549 2.294932448 -0.501762162 -0.3287288579 0.199051591
## [215,] 0.882623294 2.557226090 -0.696808473 1.5497699526 -2.303546590
## [216,] -2.117010028 0.353454518 0.227655627 1.1743237896 -2.042968246
## [217,] -0.256692316 0.049592924 0.434872059 0.2673499998 0.995586921
## [218,] -2.732321561 -0.337249667 1.159728774 0.1685290846 -0.543278599
## [219,] -1.846751940 -0.706287812 -0.569817532 1.1216985736 -0.452137868
## [220,] -1.043470353 -2.565738168 -0.623340441 -0.4766027752 -1.157213664
## [221,] -2.382000805 0.291127022 0.919740710 -0.2857477079 1.131646929
## [222,] 1.144857550 -1.186676459 -1.500924826 -0.3645461204 0.700232677
## [223,] -1.531959612 -0.320759806 -1.916593008 0.8711207223 0.334603634
## [224,] -1.845478412 0.806909386 0.251765663 -0.3512132315 -0.415363998
## [225,] -2.067526697 -1.918502697 -0.594222471 0.0369927925 0.276604713
## [226,] -2.418598931 -1.996005778 -0.015538742 0.9366134594 -0.099722305
## [227,] -0.822216458 1.464712002 -1.178019349 1.1732044943 0.274403710
## [228,] -0.870883801 1.030420889 -0.458348715 0.7574458845 1.919014248
## [229,] -0.576904708 1.755819050 -0.289082725 -0.2727532191 1.513137657
## [230,] -1.163941312 -3.194890535 1.084414059 1.6392711856 0.731848275
## [231,] 3.038055583 1.130922831 0.864625218 1.3594992601 -1.676120658
## [232,] 0.383520505 0.858421717 -2.594315676 0.9258005681 0.266152834
## [233,] -0.444997077 -0.517146338 -0.636940025 0.0139587715 1.221065144
## [234,] -0.956829210 -2.294508281 -0.378524270 -0.1317523401 0.425288475
## [235,] -1.807362784 -0.232467309 0.706604925 -0.2680408087 -2.256687892
## [236,] -2.378991971 -0.145698018 0.388001762 0.6406114412 0.434162345
## [237,] -2.274945670 -1.642597112 -0.454900502 1.1518200117 0.371777092
## [238,] -1.970890979 -0.033946735 0.439050414 0.8154459171 0.369535437
## [239,] 0.912621163 -0.248853102 3.608037871 0.7640046563 1.212842921
## [240,] 0.831456232 -0.080365135 1.536622050 1.0408366519 0.766783794
## [241,] -2.631392943 -0.592305729 -0.358257561 1.1236568688 -0.592218494
## [242,] 0.627074325 -0.101929617 0.079287476 -1.1067436215 -0.311565483
## [243,] -2.755005427 0.154565914 2.607045372 0.6722460396 -0.513183514
## [244,] -2.883203322 -0.199058770 0.313328402 0.8469611438 0.539746039
## [245,] -1.447274453 1.624769434 0.649773461 -1.0694759508 0.570091823
## [246,] -1.679519748 1.637183008 0.451251502 0.4875038236 0.948680863
## [247,] -1.112149620 0.197278162 -0.375900952 0.0264765903 0.511734434
## [248,] -1.013524437 1.982305770 -0.017446889 0.0901840170 -0.989460050
## [249,] -0.991118281 1.707325452 0.712634467 -1.0852335641 0.484986522
## [250,] 4.428265216 -0.732919739 2.005357954 1.2367665473 0.378068966
## [251,] -1.614350416 1.820060587 0.541908706 0.2578643124 0.622489888
## [252,] 0.880246262 -0.154326892 -1.288939063 -0.6640533241 -0.614869713
## [253,] -1.875303944 0.558706133 0.666350910 0.4836659003 1.253944191
## [254,] -0.714789462 0.305537553 -2.302561737 0.0681158907 0.299880353
## [255,] 2.334774276 2.704093075 0.339390019 -0.0318736422 -2.051359844
## [256,] 2.552811445 1.872739797 -0.574289652 -0.0561718904 1.138825302
## [257,] 1.944551322 -0.740777721 1.626755679 0.3714668369 0.578256279
## [258,] 1.445789756 0.472806518 -0.751851836 0.6841453858 -0.497782698
## [259,] 1.094230151 0.465482101 -1.851676556 0.0068573145 1.438641495
## [260,] 1.237333632 -0.034239281 -1.792583816 -0.8412041068 -0.353840739
## [261,] 2.529184930 -0.175083321 -0.156122271 -0.7878152268 0.639623097
## [262,] 2.569047517 -0.127111586 0.741166846 -0.3159627795 0.154380710
## [263,] 0.190814865 -0.374294931 -1.835094087 0.0581564364 0.443250458
## [264,] 0.790737539 -0.127953917 -1.619547830 0.8176314567 2.182852394
## [265,] 1.110053840 1.417747125 -1.371679594 2.0190129153 -1.114161144
## [266,] -1.119104859 1.351207556 0.607242070 0.2969278326 -0.936878128
## [267,] -1.357124742 0.549458308 0.028927390 -1.2954366968 -0.198829834
## [268,] 0.616068372 -0.174215049 -2.800934853 1.1595770959 1.074781143
## [269,] 1.310460566 -0.587947491 1.084535139 -2.2347725673 -2.067401408
## [270,] 0.458935894 2.690669078 -0.123515018 0.0176524780 0.623018435
## [271,] -0.996924504 1.641498550 1.470054123 0.2257874147 -0.425221416
## [272,] 2.140230215 -0.866617163 0.526516846 2.9046079230 0.480533450
## [273,] 4.457069978 -0.494403259 0.970378573 1.3817161350 0.952783388
## [274,] -0.666539959 -3.828176979 0.008926577 -0.4419553100 -0.670196079
## [275,] -1.541869231 0.869588692 -0.084186918 -0.8813222034 -0.387309668
## [276,] -0.143239703 0.569782309 0.319633597 -0.8466109700 1.524646148
## [277,] -0.501110874 -0.995595840 0.446656300 -0.4042375283 -1.617179350
## [278,] -0.107107881 1.617387833 -0.249359837 -0.0116262450 1.558446885
## [279,] -0.561078551 -0.226418683 -1.049244728 -0.8118788322 -1.075291787
## [280,] -1.396723892 1.240234353 2.002637315 0.1711781393 -0.576502455
## [281,] 0.646480535 -2.179516284 -0.408560794 -1.0570230599 -1.355562172
## [282,] -0.439698862 0.069669038 -1.982025106 0.1158479111 0.199222199
## [283,] 1.370494088 -1.194375689 0.857329955 -0.4201467581 -0.717264604
## [284,] 0.695394229 0.612509068 -0.558716802 -2.5018208369 -0.228437733
## [285,] 0.165762902 -0.881589866 0.203524594 0.4722527203 -0.262045118
## [286,] -0.147980407 0.335017480 0.107068200 -0.3587166242 1.902029257
## [287,] 0.734673295 -0.722542517 -0.367272623 -1.7800948595 -0.978268499
## [288,] 0.438006650 -0.202127137 -0.919653639 -1.2737697695 -1.013597139
## [289,] -0.829013043 1.474232758 0.034518910 -0.5734206544 1.214295370
## [290,] 2.833537970 0.386978912 -0.348320540 0.2418215081 -1.484241325
## [291,] 0.201216164 1.289391972 1.349836433 -0.8420173343 0.590690984
## [292,] 0.107365207 1.295411839 -1.226272207 -0.2884173406 -1.212943255
## [293,] 0.004486861 -0.112389812 -1.012442137 -0.7099291764 -0.582001723
## [294,] 3.839594442 1.222279205 -0.198441097 2.1012570498 -1.023695167
## [295,] 2.409949802 -0.932314848 -0.859022067 -3.2002040769 -0.977819197
## [296,] -0.129783177 0.152960930 -0.231536561 -0.1837164719 0.956447184
## [297,] 2.705561285 0.787382924 -2.004343029 0.7839861379 -0.339283631
## [298,] -0.122989304 -0.405698723 -1.500166688 -0.3288034971 0.034472035
## [299,] 2.486750398 0.034906840 2.997751969 -1.3772655827 0.081046474
## [300,] -1.263723371 2.157412326 0.064034677 -0.1572022738 0.813525634
## [301,] 0.247663844 0.013667682 1.203674645 -0.7798042892 -0.221452098
## [302,] -1.615147588 0.535827841 0.876844304 -1.1371862152 0.389131642
## [303,] 0.788147811 1.695184711 -0.051008219 0.2036491818 -0.860983167
## [304,] -0.145496013 0.598493755 -1.785937598 -0.1776136468 -0.707043834
## [305,] 0.374167504 0.044847437 -1.769197012 2.0288660749 -1.089885887
## [306,] 0.216686851 0.944572528 0.532783011 -0.4174388474 0.838779621
## [307,] -0.970090272 1.376763254 0.104374062 -0.1512884301 -1.166352898
## [308,] 1.011360802 2.869558263 0.264338584 1.2174866402 -1.139843699
## [309,] 0.335455960 0.024856944 -1.441289668 -0.6153653958 -0.759201034
## [310,] 0.779038416 -0.821471024 0.174741497 -0.6430344052 -0.553466284
## [311,] 1.239550895 -0.786244220 -0.409069421 0.0582451742 -0.306509720
## [312,] -0.619765407 1.626242412 0.511906751 -1.1845767570 0.251519696
## [313,] -1.085765196 0.637582815 -0.307456383 -0.3309066745 -0.164654272
## [314,] 1.252051299 0.094037041 -2.007748112 2.0059232209 -0.924944481
## [315,] 1.576130020 -0.792809607 -2.169803465 0.3703292871 1.024334510
## [316,] -1.724178861 0.030380919 0.348602751 0.1642768101 0.310757084
## [317,] 2.928234792 -1.598205619 -0.207195212 0.7868930206 0.382525260
## [318,] 2.337052664 0.703104332 -0.104162615 0.3716043467 0.023738448
## [319,] 1.186018770 0.548877227 -1.551560380 0.4491179466 -0.064874763
## [320,] 1.395664161 2.424887769 -0.863757415 0.4538659318 -0.714794890
## [321,] 0.570207924 1.334923877 -1.660732661 1.0042495179 -2.706682832
## [322,] 2.681061281 -1.882530282 -0.273926196 -1.7493576510 -0.065185282
## [323,] 3.124464720 -1.131762190 0.519984527 -1.3079166875 0.498012163
## [324,] 3.293343026 0.273184647 2.181847363 0.7496439633 1.181465945
## [325,] 2.483991926 0.720932692 -0.499030878 -0.3696884785 1.906892835
## [326,] 0.610662789 -1.254233726 -1.402942519 -1.5240174995 -0.328671759
## [327,] 0.249460741 -0.345003461 -1.243633875 -0.2830147377 -0.501703650
## [328,] 1.020133169 1.241771946 -1.503247274 0.0915155033 0.999858587
## [329,] 0.846768298 -0.423020032 0.108279770 -2.6045923410 -0.654027818
## [330,] 0.131310551 0.400038015 1.038631752 -0.3144548472 0.623358321
## [331,] 4.323580385 0.605692051 1.770771844 -1.1806992865 0.561695312
## [332,] 3.365603536 0.154891277 -1.819942040 2.6670670612 -0.899902402
## [333,] 1.081331546 0.004681426 -2.092878227 -0.9440441861 -0.436586881
## [334,] 1.392871180 -1.818817943 0.982450341 -1.0097886177 1.319980787
## [335,] 1.558711110 -0.382111499 -0.521409763 -1.8929124660 0.587896064
## [336,] 1.358820498 -0.545945989 -1.583989308 0.4267138366 -1.209471616
## [337,] -1.478176356 -0.616929828 0.060363292 0.1384875766 -0.891524413
## [338,] -0.560862141 -0.408870550 -1.897105946 0.9498247625 0.144589484
## [339,] 1.211323509 -1.119850406 -1.897823114 -0.0223389307 1.162433586
## [340,] 3.188982107 1.105228332 1.000570166 0.0007679735 -0.842271479
## [341,] 0.830613036 -1.263459430 -1.394502673 -1.3245321957 0.146065580
## [342,] 1.012927695 -0.590080592 -1.739806825 -1.0087809119 -0.232942309
## [343,] 2.020433744 -0.830024702 0.485250531 -0.6169646693 -1.334631364
## [344,] 2.407338547 -0.489757455 -1.979917073 -0.5188097185 -1.714147078
## [345,] 0.475127038 -1.091822277 0.175061155 -1.5952860434 -0.876547094
## [346,] -0.213785629 1.481297141 -0.415736130 0.0099163381 -0.524774464
## [347,] 1.558734780 -0.303984494 -1.232828715 -0.4576764899 1.794303841
## [348,] 4.227030922 -1.832555837 -1.310041659 -0.3330334531 -2.260706115
## [349,] 2.656334459 -0.604557584 2.530279940 -0.0367057694 -0.407716337
## [350,] 0.726024403 1.367212442 1.306451601 2.2402648580 -1.320656295
## [351,] 3.332928179 0.874275937 -0.510585761 0.3399928835 -2.038934419
## [352,] 2.627044602 -1.272799558 -1.203941524 -1.9604414989 -0.304264927
## [353,] 0.244983452 -0.934605240 -0.379501864 0.8160913161 0.413776054
## [354,] -1.188635994 2.057084690 0.932101492 1.0583907227 0.202784978
## [355,] 0.440089868 -2.159280045 -0.170489824 -1.2865705529 -0.040538327
## [356,] -2.380575687 0.419201239 1.131738939 0.9543133368 -1.017507257
## [357,] 2.481286327 -1.505938227 0.154523113 -1.1499600805 -0.671730892
## [358,] 0.590847610 1.481607533 -0.330456040 -0.3742661969 -2.410580886
## [359,] 0.859674835 0.224618937 0.723350292 0.1763710809 0.077060190
## [360,] 1.098708285 -0.706127765 -1.371610423 -0.2226073032 -0.121947205
## [361,] 0.304041016 0.149029540 -0.862073558 -1.1771298978 1.032792112
## [362,] 3.688052904 -1.228265340 0.766494002 0.4152925182 -0.656898289
## [363,] -1.093890375 0.841985018 -0.691385355 0.2802997225 0.704269853
## [364,] 1.162007947 2.689649882 0.399501888 -0.4276726951 -0.304687207
## [365,] 0.716305849 0.971723616 -1.246705978 0.2770922071 1.045908137
## [366,] 0.945557309 1.466964888 -0.499784306 -0.2881052136 -0.540326459
## [367,] 0.936810306 -0.684514330 -0.235109386 -0.3144352873 -1.036871060
## [368,] 0.756864170 -1.112961961 -1.648284296 -1.0845207097 0.485434329
## [369,] 1.187075542 2.668097591 0.489052606 -1.1730139425 -0.628933429
## [370,] -0.958304164 2.752712614 0.495701483 0.5697080804 0.163655330
## [371,] 0.338366666 0.027897223 -1.346380482 -0.6392921644 -0.629461351
## [372,] 0.436905369 0.034992092 -2.024434921 -0.8398901872 -0.453835346
## [373,] -1.600906161 0.439500356 -0.309497806 -0.1530583599 0.273120748
## [374,] -0.606678606 0.563762899 -0.695949729 -0.5870922848 0.042710090
## [375,] 1.522220793 0.493281237 1.575757643 -0.3221596865 0.898670752
## [376,] -0.616819649 2.090771144 -0.002750341 0.1634282876 -1.052879607
## [377,] 0.769372279 0.185398309 1.496890173 0.5312652762 2.164799768
## [378,] -2.022349370 -2.048334134 -0.647282107 0.2351810505 -0.864007269
## [379,] -0.332153197 -2.184156788 -1.556956308 -0.1086400088 -0.019133649
## [380,] 0.343466327 1.627814306 0.122741835 -1.1021161095 1.255753751
## [381,] 1.959969115 1.091149276 2.277542800 0.0993156207 0.288769651
## [382,] 1.096291828 0.709852675 1.593834506 1.4634066644 0.379694398
## [383,] 4.788824260 -2.333262072 0.261770086 0.8477663156 1.454304985
## [384,] 2.953241175 -2.121439076 -0.048298751 -1.6776988621 -0.295583119
## [385,] 3.953080801 0.629581988 -0.692826059 2.2779470993 -0.140338070
## [386,] 1.596020067 -1.408254495 -0.397428301 0.3803709652 0.623659964
## [387,] -0.507005542 -0.383314679 -1.171693175 0.1962431375 0.100157911
## [388,] 1.767976688 0.567885928 -0.798842893 -0.9987266776 1.927227401
## [389,] 0.037281413 1.333228592 -0.187101258 0.1533350331 0.996622262
## [390,] 0.842170869 -1.646721805 0.217442553 0.6300578900 0.660338087
## [391,] 0.843783436 -0.168018219 -1.345537209 -0.6969778068 1.664099633
## [392,] -1.934960875 -0.655726038 -0.236334786 0.1549388092 -0.779715764
## [393,] 3.069766792 1.309777123 1.029174181 1.3340146409 0.556567017
## [394,] -0.841372906 0.157761785 -0.470256792 0.4125445442 0.938588543
## [395,] -1.063573636 -0.644591049 -1.939569329 0.7850486027 0.738408862
## [396,] 0.049601141 1.167036501 -0.694321422 -0.4516498774 1.930135093
## [397,] -1.665456349 -0.584826567 -0.254078242 -0.2930498872 -0.840908819
## [398,] 4.322602450 0.166886465 1.222695814 2.7242358719 -2.617189037
## [399,] 1.398007661 1.378333503 -1.596237858 2.3364772965 -1.812826147
## [400,] 4.437649222 -0.715172615 2.322672413 0.0916621613 1.961233100
## [401,] -0.352878266 -0.053332793 -1.530184164 0.2519763169 -0.003789722
## [402,] 1.725305338 0.277819244 -1.963587571 1.1230063726 -1.497708718
## [403,] 1.092839134 -0.730026982 -2.009400660 -0.7412578824 0.053490599
## [404,] 0.394293776 -0.324842332 -1.227434010 -0.1590133079 0.065245168
## [405,] -1.893315001 0.302817887 0.585531405 -0.6345351052 -0.588600496
## [406,] 0.244260942 -0.696043389 -1.334559076 0.0117163162 0.077124435
## [407,] 0.262897634 -0.418087829 -1.817375556 -0.2277316974 0.412532867
## [408,] 1.370436207 2.004000370 2.828527245 0.6850675778 -1.894860722
## [409,] 2.106911367 -0.303486380 -1.800729820 0.2679496324 2.470940320
## [410,] -1.102330387 1.825938425 0.853051744 0.0897897746 0.550624146
## [411,] 0.436767359 0.197939844 -1.500376363 -0.3962817798 -0.748719710
## [412,] 0.343019654 -3.285459399 -0.777514563 -3.5747529463 -0.945401971
## [413,] 1.915190881 0.861268913 -0.885127958 -0.0738524494 -1.438051792
## [414,] 2.995598088 -1.413013541 -0.293167506 0.7759848475 0.748530703
## [415,] -0.908553129 0.516115029 1.427819246 0.1301188018 1.084103418
## [416,] 1.048686817 -0.921710601 1.508217286 -0.9148171595 0.411065938
## [417,] -1.182920861 -1.100238113 -0.845196570 0.4513984700 -0.056293673
## [418,] 0.732075729 -0.997386463 0.882639785 0.3266155714 0.166493471
## [419,] 0.896131733 2.221707870 -0.481093944 0.5771974081 1.251669129
## [420,] -0.016016455 0.229038019 -1.089130329 -1.1839138723 -1.288154789
## [421,] 1.985146731 -3.729851863 -0.253117659 0.6158646740 0.981599085
## [422,] 1.342184972 -1.668292784 -0.591287663 -0.9597336514 0.023963688
## [423,] 0.582869712 0.418757300 -1.049446695 0.4239897292 1.363661153
## [424,] 1.003746316 0.780749820 1.710634104 -1.1595026219 -1.645726037
## [425,] -0.170756689 1.691970101 -0.875365013 1.0116387732 0.331153693
## [426,] 0.003398704 1.701593215 1.212299410 -1.6990415811 -0.364411873
## [427,] -0.806248037 1.560178360 -0.259360815 -1.6125579143 -1.206386671
## [428,] 0.172106286 1.031908693 0.449529448 -2.7843021782 0.857899420
## [429,] -2.053476354 -1.086158635 0.169746310 -0.4682199706 -0.859306700
## [430,] -0.353274366 1.005053560 -0.099172790 -1.2810416473 -1.064037333
## [431,] -1.778921791 1.134956140 0.497739412 -0.2208653900 0.855793081
## [432,] 0.617449086 1.238819685 0.234010417 -2.3231879285 0.381322923
## [433,] 1.530034315 -0.880130910 -1.165285581 0.8824819929 0.741015766
## [434,] 3.178031465 1.327516037 0.703053352 -0.4508637112 -1.264028643
## [435,] 0.921401559 -0.062030640 -0.328461798 -2.0227796360 -1.665557598
## [436,] 0.645929806 -0.914372688 1.199267301 0.1029754553 -1.877362792
## [437,] -1.513291067 -0.355212540 -0.780134825 0.1040292921 -0.305390584
## [438,] 0.132122691 0.968554332 0.447934022 -1.1222260615 1.066793671
## [439,] 2.530822040 -1.328210092 2.453807714 1.4497896259 -0.719777583
## [440,] 0.562399002 -0.771907755 -1.636043491 -0.4974467350 0.435726024
## [441,] -1.123704946 0.914167912 -0.907350383 -0.7428138298 0.456574126
## [442,] 2.899339955 1.881053308 1.647439940 0.1868405321 -0.240266431
## [443,] 1.447296233 0.330944745 -0.643520028 -1.7617527688 0.200099994
## [444,] 1.327063713 3.277391288 0.226312339 0.6305047930 -2.051998103
## [445,] 2.165907466 1.471900731 -1.152179873 0.8332512985 -3.232748620
## [446,] 1.044641541 -0.377937506 -1.133829343 0.0870661914 2.106583484
## [447,] 1.202873706 1.369949600 -0.924422395 0.4426866404 -1.512590931
## [448,] 1.490951035 -0.713930296 -0.229577109 0.1131247335 -0.120979459
## [449,] -0.108700619 1.153946123 -0.854321204 2.1021474792 -2.731210916
## [450,] 1.683964972 -0.790327268 -1.018476004 0.6174797579 1.381411502
## [451,] 1.931366277 -1.603163544 -0.194502178 0.4727238386 -0.372779576
## [452,] -1.473569098 -0.574590854 0.568281023 -1.4621299079 -0.394542593
## [453,] 1.364876540 -1.051197480 -1.313240037 -0.6750350200 0.361159982
## [454,] -0.565196904 0.195531217 0.059636248 -0.5501112574 0.687421400
## [455,] 3.459769850 1.540421738 -0.459525432 1.8118430737 -1.291603261
## [456,] -0.059530828 1.410558792 0.112923574 0.3642406234 1.613344373
## [457,] 3.684124970 0.464497623 -1.418638368 2.3096513296 -2.025080103
## [458,] 0.477071264 0.259333050 -0.305277326 -0.0280787157 0.864942351
## [459,] 0.867484119 0.725284009 0.270935732 -1.5659574126 -1.223191126
## [460,] 2.690776727 -1.740553145 1.266296499 0.6130126752 2.096372206
## [461,] 1.651209677 2.187579030 0.232289043 -0.7326918256 0.119217751
## [462,] -0.418698730 -1.058785873 -0.393032386 -1.1235719545 1.611701713
## [463,] 2.515538347 2.389344930 1.410061259 -0.4066371001 -0.543073043
## [464,] 2.432114603 -0.914542482 0.735798241 -2.1133464616 -1.539036638
## [465,] 0.415237535 0.090824792 -1.273294668 0.3443790249 1.664137835
## [466,] 1.793212788 -0.795405753 -1.133471047 1.6752513367 -1.166238827
## [467,] 0.328231726 0.457981356 -0.276875308 -0.6812398001 0.567589940
## [468,] 1.331171631 -0.531351049 -1.150398712 -0.8329382166 1.655556049
## [469,] 2.697729195 -1.480153820 -1.199178400 -1.5980817521 0.373390658
## [470,] 0.523474164 -0.771320855 -1.904139818 0.1347213290 -0.016220399
## [471,] -0.214088712 2.025456501 0.821672818 -0.2662549567 0.312873989
## [472,] -0.450705924 -0.850755818 -0.949864966 -0.6693009064 -0.147526594
## [473,] 0.096310378 1.512768053 0.367931078 -1.1259075609 -1.775342818
## [474,] 0.803328451 -0.746689199 -0.569667428 -1.3011508030 -0.782782431
## [475,] 0.892743466 -0.438305982 -0.047196957 -1.4950940245 -0.046492162
## [476,] 0.356060813 0.492043653 -0.692537974 -1.3639765858 0.441310129
## [477,] 1.045887851 0.916963816 -1.063866425 0.4360234775 0.968385204
## [478,] 1.635114048 -0.769897410 -0.032617289 -1.3337104375 1.172894152
## [479,] 3.384171406 -3.748637982 2.117821826 0.4816992405 1.331831889
## [480,] -1.291011741 -0.113779752 -1.823243054 1.0629823077 0.027644080
## [481,] 3.533787560 0.724417347 -0.959931323 -0.2528729747 0.724664191
## [482,] 2.879625120 -0.654049208 -1.121197954 1.0800265997 -1.452424120
## [483,] -0.850903456 1.623654034 0.569517802 -0.9830378604 0.607818682
## [484,] -1.318214773 1.976303610 0.201731755 -0.2684015238 0.790390412
## [485,] 0.361009385 1.032882869 0.362646310 -0.8526734757 -1.222651324
## [486,] 2.419910959 -0.467962508 1.361856102 -1.6957131333 -0.239946023
## [487,] 0.848012547 1.207791455 0.136793317 -0.8840868077 -1.140291698
## [488,] 1.928009671 -0.712802251 -0.191821919 -2.1249145430 -1.303625077
## [489,] -0.563124316 0.759359402 0.919304979 -0.2326071543 -1.847350616
## [490,] 2.466669285 0.285668989 2.023340128 -2.3178875429 -0.081514443
## [491,] 1.689760534 -0.628515953 -0.764243010 0.8730984386 -1.825410930
## [492,] 1.383002288 -1.564340592 -0.707637680 -0.6349852108 0.570465104
## [493,] 2.310823507 2.213590654 -0.443856900 2.3661973991 -1.968676178
## [494,] -1.017633122 -0.695649989 -1.620639147 0.6159374994 0.445560536
## [495,] 0.534075967 2.353280633 0.166100274 -0.8657380323 -0.073079626
## [496,] 1.802404767 0.654498938 0.111833817 -2.6905861996 1.041598372
## [497,] -1.519954938 -0.766225511 0.756402636 -0.6577659353 0.338747875
## [498,] 1.835909217 0.435831380 -0.363222262 -0.4702983539 2.853131913
## [499,] 3.899033820 -0.105524086 -0.423141495 -0.5554354590 -1.196637653
## PC6 PC7 PC8 PC9 PC10
## [1,] -0.699052021 1.205930605 -0.0112821754 -0.951136304 0.06884376
## [2,] 1.082562585 0.297104939 0.6541236384 1.460367449 -1.97080227
## [3,] -0.273591462 0.706550772 0.5522400135 -1.108877105 0.39950143
## [4,] -0.091488613 0.204189735 -0.1390066316 -0.553897184 -1.06358860
## [5,] -0.007442173 0.174931051 -0.0237622262 0.877005786 -0.34335305
## [6,] 3.244907401 -0.956404400 0.8394687744 -1.120187755 -0.32854440
## [7,] -1.550747818 -4.296760367 0.1147087503 0.076308038 0.11264444
## [8,] 0.666348146 -0.343728103 1.6297411962 1.731932503 0.91501294
## [9,] -0.215335983 0.994814738 -0.5639298659 0.873987844 0.30262761
## [10,] 0.608329214 -0.238916354 1.9414432948 1.427041982 0.87908444
## [11,] 0.065805170 -0.336648210 -0.4890413812 -0.855734412 0.40248378
## [12,] 0.427104111 0.796995802 0.4298004120 0.055732905 0.81961391
## [13,] -0.044086746 0.558356617 -0.3732863063 -0.776472862 -0.05733289
## [14,] 0.045098985 -0.228437811 -0.9781711635 0.501169299 1.05301116
## [15,] 0.073182344 -0.369727664 -0.0365622457 0.934173150 0.04313794
## [16,] -0.245709946 -0.140319533 1.1591227162 0.374507056 -0.30153308
## [17,] -0.398797991 0.456883852 -0.0858875841 0.083961779 0.38131272
## [18,] 0.512602171 0.170704594 -0.0004955918 0.382520522 -0.01634302
## [19,] -0.429100961 0.929421523 0.4311767789 -0.262220124 -0.18283428
## [20,] 2.934298370 -1.140215819 1.8245005868 -2.118076190 -0.79384875
## [21,] -0.193753824 0.885351512 0.1195846944 0.061072293 0.06754989
## [22,] -0.895024244 0.381810079 0.5727846693 -0.679855018 -0.66328922
## [23,] -2.332978115 -3.158205607 -0.2097473786 -0.050156122 -0.15708257
## [24,] -0.248521806 0.019556817 0.0220025225 0.172054144 0.88183175
## [25,] -1.221930984 0.456989018 0.8083529279 -0.422045123 0.83528632
## [26,] 0.140292221 0.486681874 0.2754509861 -0.204752557 0.95304256
## [27,] -0.378650307 0.339508132 1.2955598553 -0.313935066 -1.85433762
## [28,] -0.710987617 0.138867438 0.8465962503 -0.021305526 -0.09182902
## [29,] -0.232745626 0.528906392 -0.8394357690 0.706465171 0.70851161
## [30,] 0.102810244 0.103883085 -0.8853212496 1.421099551 -0.05023004
## [31,] -0.367959544 0.779177212 -1.0893717634 0.004956317 -1.17931716
## [32,] 0.316237226 0.135287421 -0.0233081338 1.484937863 0.07933644
## [33,] 0.195064195 0.285065150 1.1065987573 0.192843403 1.41957724
## [34,] -0.262124642 0.589675732 1.9197772901 1.012744676 0.59398886
## [35,] 0.854338132 -0.303084250 -0.9429483833 -0.790164455 0.92326005
## [36,] -0.163802839 0.609802385 -0.2978892856 -0.535930757 0.36602658
## [37,] 0.474834266 0.893881407 1.4492960692 0.496353661 0.70035301
## [38,] 0.597975512 0.183755412 -0.4719943581 1.076315718 0.27870682
## [39,] 0.628780277 0.061877295 0.0614908993 0.983530968 0.47137835
## [40,] 0.455987337 -0.069377375 0.4566972984 0.145628520 0.15302947
## [41,] -2.401157431 -3.405450039 -0.2641392637 0.151975123 0.18202014
## [42,] 0.124897284 0.736181286 0.2148846221 -0.237101343 0.60965752
## [43,] 1.003456909 -0.260883392 -0.8876550983 1.932669232 0.30232297
## [44,] 0.572397309 -0.462048509 -0.8924644942 0.897160414 0.37094486
## [45,] -0.664944681 0.646712327 -0.6835020240 -0.771133473 -0.80939690
## [46,] -0.025000137 0.656027364 1.7755469741 1.599833587 -0.37632343
## [47,] 0.220362772 0.249164759 0.5277998722 0.886763600 -0.28029578
## [48,] -0.231503331 0.442300608 0.0874378558 0.013051333 0.44469128
## [49,] 0.294917365 0.600615469 0.3904403120 0.472420116 1.18055118
## [50,] -0.490123612 0.423647696 0.3106337588 -1.648997113 -0.50053903
## [51,] -0.945079803 -0.010679160 -0.2680787381 -0.920346342 -0.22943167
## [52,] -0.331716718 0.826981843 0.3155416197 0.106580273 0.02221850
## [53,] 0.724121906 -0.321829523 -1.4179277915 -0.606651298 0.94510976
## [54,] -0.205244417 0.924439103 -0.5422654654 0.525508203 0.21745043
## [55,] -0.316470297 0.899313855 0.0375093262 -0.412598954 -0.15848762
## [56,] 0.337817971 0.658747909 1.4698551378 -0.105944120 0.54805769
## [57,] 0.005083927 1.016052971 -0.0275815412 1.601268123 0.43762819
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## [149,] 0.951500791 -0.670737394 -0.9335048718 -0.474440722 1.44697926
## [150,] -1.544522634 -3.153324017 -0.0694851449 0.719706086 0.91227088
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## [166,] 0.264260379 0.814993693 -0.4435757142 0.616030190 0.94822029
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## [168,] 0.055826570 0.274268367 1.2635446770 1.171746387 0.86322015
## [169,] 4.539948498 -2.213387659 1.7496211033 -1.495626108 2.58210688
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## [184,] -0.052749143 0.479014011 -0.5821915000 -0.773310663 -1.23338214
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## [191,] 0.295139476 0.277635973 -0.0720742122 0.209281181 -0.04675840
## [192,] 1.184978055 0.497508667 -0.8796058549 1.054275064 0.27824527
## [193,] 0.393663159 -0.059164449 -2.1717411259 1.152686551 -0.13597825
## [194,] -0.451381226 0.449889107 -1.3286468362 -0.007551250 -0.85984348
## [195,] 2.858488189 -0.602247736 0.4226836705 -1.414364471 -0.99024445
## [196,] 0.703216638 0.262032686 -0.7711637173 -0.957223412 0.34547173
## [197,] -1.869828833 -4.363941682 -1.0278131055 -0.451390261 0.62295477
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## [199,] -0.318564003 -0.229794434 -0.5163865554 -0.301951703 -1.18352789
## [200,] -0.913139601 0.773718358 -1.4700206969 1.702256217 1.20539577
## [201,] 0.754019568 0.614219034 -1.2337441022 0.462986417 0.74280789
## [202,] 0.912105531 0.188092699 1.1119029257 1.515112077 1.84583866
## [203,] -0.439256986 -0.991878943 0.5262571601 -0.364986601 -0.51460253
## [204,] 0.251715770 0.942300237 0.6303358867 0.511651358 -0.96832563
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## [208,] 0.198349051 0.541076559 0.3139118633 -0.366405274 0.70967321
## [209,] -0.801880252 -0.107377539 -0.2641633772 -0.991074095 -0.35701848
## [210,] -0.491190393 1.510995199 -1.7665138505 -1.430029207 -1.34354396
## [211,] -0.664445258 0.777411245 0.2227613979 0.031044300 -0.77620201
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## [213,] -0.556737539 0.192371420 -1.1351336449 0.543016215 -0.91505903
## [214,] 1.075659965 -0.217744609 0.1321912697 -0.233433656 0.79586607
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## [218,] 0.204666065 0.902086577 0.3766182640 0.113859846 0.82312330
## [219,] -0.531156624 0.878851089 0.5949696075 -0.182049564 -0.16242824
## [220,] 3.130652866 -1.262397601 1.7737314709 -0.975098031 -0.42059827
## [221,] 0.810137661 -0.047954306 -0.0631396152 1.147487048 0.67824959
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## [225,] 0.085216388 0.120160668 -0.3481496526 1.050172575 1.30366569
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## [227,] 0.746465884 -0.176754988 0.0656346244 -1.191349246 2.64938169
## [228,] 0.322702698 -0.539943351 1.1535415169 0.099110041 0.50674267
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## [231,] 4.741518369 -1.329556476 0.2164432601 -1.094678608 -1.31479007
## [232,] 0.035999529 -0.380375928 -0.9438550919 -1.455842076 1.43777487
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## [235,] -2.551373534 -3.441135380 -1.8359016067 -0.207849832 -0.56042107
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## [238,] -0.124362402 0.618450296 0.2818669888 0.748271675 -0.84425630
## [239,] -0.330681364 1.126596143 -0.7934911491 -1.080018451 -0.91601475
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## [243,] -1.187751169 -3.953796035 -0.3528755066 1.314289560 0.54025879
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## [249,] 0.060352871 0.144641200 -0.6007739460 -0.189811194 -0.90945798
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## [251,] 0.080533135 0.349304253 0.6606895993 -0.216592545 -0.53626581
## [252,] -0.742881236 0.082246213 1.1530941106 -0.380010483 -0.32028092
## [253,] 0.554230616 -0.017203620 0.6986679766 0.649629210 0.36413859
## [254,] -0.704946094 -0.048574423 -0.3529686751 -1.108532844 -0.39831365
## [255,] 1.750635266 0.229575505 -0.8538124732 1.869605759 -0.17586407
## [256,] 0.848030601 -1.147790044 1.1277635318 -0.244346019 1.81181993
## [257,] -0.610366335 0.632810366 0.7062332737 -0.094850654 -1.21768105
## [258,] 0.346198628 -0.061102902 -1.1568221763 2.161911812 -1.64900600
## [259,] -0.176665712 -0.906132622 1.5341108556 0.249773812 -0.46703576
## [260,] -0.818267969 -0.110372358 0.9974356761 -0.529666082 -0.15639951
## [261,] -0.929775212 -0.269852414 1.2165521864 0.292312616 -0.45641795
## [262,] -1.171640537 0.120456906 1.8053595197 0.093278623 -0.86707528
## [263,] -0.808824500 -0.184279810 -0.0540873071 -0.744362908 -0.07847939
## [264,] -0.389734177 -0.921199352 0.5796711088 0.067791265 -0.36577658
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## [266,] 0.638732626 0.730688763 -1.2808285632 -1.357004501 1.29116829
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## [268,] 0.340345399 -0.902886347 -0.3753788087 -0.430822294 3.04814229
## [269,] -1.325627662 1.155763880 -0.1629627456 -0.178350487 -0.57814804
## [270,] 0.639477014 -0.291944967 -0.9313064216 -0.964304113 0.75643238
## [271,] -1.895165390 -4.283800689 -0.5589619752 -0.228176328 -0.65378529
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## [273,] -0.267432277 -0.140429909 0.9465039928 -0.450651456 1.11632314
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## [278,] -0.027564828 -0.561686365 0.5397357185 -0.578804897 -0.38694865
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## [295,] -0.948349271 0.106569331 -0.8155649853 0.546758732 0.20145492
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## [298,] -0.762378787 0.118517578 -0.5115705203 -0.556634623 -0.30945981
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## [302,] 0.970018711 -0.009463738 0.9431189209 1.531688301 0.62002025
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## [308,] 1.631073540 0.009806083 -1.4916834169 1.131053754 0.01044259
## [309,] -0.643395886 0.269119655 0.9443228770 -0.445326228 -0.55463184
## [310,] -1.180670923 0.958123882 -1.2786144615 -0.844444365 -0.79070206
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## [319,] -0.142626179 0.009978888 -1.5623350965 -1.424379073 1.16027686
## [320,] 1.092157869 -0.281252165 0.8878055516 1.581158607 -1.43072275
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## [327,] -0.538263128 0.087572293 1.2914272103 -0.280447205 -0.19523151
## [328,] 1.417483490 -1.278863961 -1.1008781031 2.200312284 0.06856679
## [329,] 0.124219559 0.048772525 0.0334548443 0.665175197 0.76298121
## [330,] 0.381871372 -0.090280409 2.1607560441 1.057284107 0.52182099
## [331,] 0.489978921 0.065959096 -1.0721331338 -0.176339435 1.29995070
## [332,] 0.459675049 -0.182565507 -0.8859126804 0.384322429 0.99691548
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## [335,] -0.482642206 -0.427298980 -0.7257562206 -0.228842158 1.11378568
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## [337,] -0.790134498 1.020533090 -0.0266661063 -0.149868470 -0.07368091
## [338,] -0.734525826 0.443018275 0.5549395586 -0.493984779 -0.10843427
## [339,] -0.852447894 -0.779723991 0.1931712182 -0.435307543 0.85498715
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## [341,] -0.690097049 -0.046304704 -1.2457425778 0.250717094 0.12901978
## [342,] -0.520699591 -0.185946952 0.7290941193 0.031425793 0.09336269
## [343,] -1.488168414 0.812132094 1.4737270321 -0.539141712 -0.43432264
## [344,] 0.434544607 -0.177226683 -0.3569197814 2.304732984 -0.42737553
## [345,] 2.924880643 -1.179972642 0.5779573075 -1.024058348 -2.71305440
## [346,] 0.521481232 0.342509491 -1.3175596072 -1.401830508 1.44928660
## [347,] -0.478797320 -0.635902341 -0.6947309945 0.369286168 -0.59206868
## [348,] 4.191668900 -1.758839680 -1.4157765736 -0.037423331 0.30209184
## [349,] -0.877130149 1.150517877 1.0520163248 -1.554551114 -0.10571081
## [350,] -1.057794001 -4.381132383 -0.4124466217 1.628375250 -0.99676211
## [351,] 1.361627169 -0.099129724 -0.2628123894 1.406914932 1.72062305
## [352,] -0.781782558 -0.124393327 0.0493444746 0.432678639 0.24670970
## [353,] -0.701691963 0.767645419 -0.9650165545 -1.253780651 -0.84054213
## [354,] 0.908921860 0.405819076 -0.2073563526 -0.341338543 1.24664862
## [355,] 3.361319687 -1.505430296 0.7474926006 -0.050540767 -1.31311141
## [356,] -2.041985720 -3.643735253 -0.7871184479 0.763162478 -0.80127697
## [357,] -1.215518006 0.346867143 0.8298384816 -0.042294798 0.29968940
## [358,] 0.824030835 0.380824437 0.2776521272 1.257998484 -0.62173381
## [359,] -1.023194931 0.526969649 0.5925519129 -1.708463577 0.18708936
## [360,] -0.622531741 -0.216499303 1.5757666207 -0.154092214 0.14144615
## [361,] -0.358433159 -0.336221679 -1.2373214916 0.561819517 -0.80607987
## [362,] 0.286952937 0.040366423 0.5476656205 3.353424861 -0.08405959
## [363,] -0.366277742 0.162288247 -0.3221507337 -0.210310231 -1.53859148
## [364,] 0.754140748 -0.043924780 0.4644317256 -0.528728865 0.57691402
## [365,] 0.458886715 -0.622539394 -1.4667976991 -0.077513885 0.92498666
## [366,] 0.127686804 0.266958072 -1.1696535634 -1.508519269 1.50203129
## [367,] -0.975875689 0.608463333 1.3980889408 -0.354895285 -0.44090395
## [368,] -0.691514569 -0.331583096 -0.9766159255 0.025548793 0.43574884
## [369,] 0.777325736 0.143714926 -0.2560151018 -0.276607777 0.42775542
## [370,] 0.839473565 0.191005429 -0.8011119969 -0.999069126 0.40195075
## [371,] -0.635777957 0.078333911 1.0645791357 -0.448305514 -0.29996816
## [372,] -0.544336595 0.032851519 0.6684124646 -0.388189210 -0.35017052
## [373,] 0.024183537 0.036980837 0.4916594578 -0.410887878 1.19627789
## [374,] 0.003485487 0.266491974 0.8226438696 0.986155398 -0.74288771
## [375,] 0.076232955 0.153437376 1.0771830042 -0.148707335 -0.52105562
## [376,] 0.330919236 0.585836003 -0.9252780873 -1.747569159 1.02486614
## [377,] 0.284167922 0.239214829 -1.1383073255 -0.813612049 -0.72063429
## [378,] 2.781141942 -0.996956143 0.6064592025 -1.831005798 -0.95010600
## [379,] 2.633297996 -1.699052969 0.1749884880 -2.298011735 -1.11606392
## [380,] -0.198933980 -0.528849124 -0.2067306783 -0.416450529 -0.22936189
## [381,] 1.119789361 0.776487949 -1.2503075040 -0.629612342 0.30657099
## [382,] 0.123221300 1.245468037 -2.5723258673 -1.451778946 -0.76264767
## [383,] -0.360710452 -0.144773046 -2.0950025548 -1.029651367 2.37633176
## [384,] -0.820688488 0.249760800 -0.1630684451 0.519222264 0.34559830
## [385,] 0.496355033 -0.514126199 -0.7553130283 1.315428220 0.60420900
## [386,] -1.049333789 0.371669732 -0.6040599529 -0.968356913 -0.21100448
## [387,] -0.741743143 0.059354879 0.0216244140 -0.698583092 -0.17839621
## [388,] 0.395774142 -1.356188701 1.6037532687 0.631806744 0.76792979
## [389,] 0.339777713 -0.347411600 2.4726969740 0.341414318 0.24231733
## [390,] -0.597366017 0.970734624 -1.8028337806 -1.118239575 -0.77638695
## [391,] -0.335746271 -0.736705684 -0.7409662873 0.569054154 -0.40943009
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## [393,] 0.122923687 -0.213241110 2.7098599986 -0.430258600 2.07097039
## [394,] -0.290229955 0.070225548 0.1918427870 0.578119722 -0.48753317
## [395,] -0.387978471 -0.058583159 0.2421617687 -0.315892379 0.69378183
## [396,] 0.199738322 -0.838112211 0.0407481966 -0.130080430 0.04758408
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## [399,] 0.778417781 0.562359604 -1.9619296639 -0.055187290 -0.17310789
## [400,] -0.442621601 -0.005953921 1.0132426383 -0.602038936 0.07178672
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## [402,] 1.089708674 -0.180731743 -2.2386944677 1.397703790 1.06865674
## [403,] -0.513862120 -0.298379041 0.8749809671 -0.036823405 0.27948369
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## [411,] -0.755766824 0.291337924 1.1644164409 -0.682973859 -0.65064762
## [412,] 2.873991942 -1.452321017 -2.6719563186 -0.432878644 -0.74538297
## [413,] 0.555489220 0.201224849 -0.2462561666 2.506361808 -2.05805369
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## [416,] -0.204289522 1.078257681 -2.3976320636 -1.054880795 -0.16385334
## [417,] -0.457180800 0.442290318 0.1911841203 0.223479633 0.42328312
## [418,] -0.132964814 0.817084369 1.1112663957 1.250054785 -0.87196979
## [419,] 0.710958261 -0.664684754 -0.3966598722 -0.860433991 1.19553564
## [420,] -0.650792148 0.598655561 0.3732704649 -0.366108957 -0.86878455
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## [422,] -0.246758479 0.237061352 -0.3332948353 0.256445947 0.09498334
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## [424,] -0.980589450 1.158704521 1.2668814452 -1.289844811 -0.41094930
## [425,] 0.308811256 0.137768895 -1.1856437807 -0.736527696 -0.12147038
## [426,] 0.022846455 0.345430872 0.6858750503 0.107999471 -0.90059754
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## [428,] 0.152622304 -0.419930050 -1.7957096311 0.645904234 -0.02325321
## [429,] -0.408067381 0.925147226 -0.7250379746 0.500221747 0.30994476
## [430,] -0.099214592 0.515486361 0.9451449603 -0.617236590 -0.24273053
## [431,] 0.405498892 0.174616896 0.0880193831 0.450815554 -0.03665578
## [432,] 0.353099336 -0.334650257 0.1905461554 0.720305798 -0.25808485
## [433,] -1.163496864 0.167083207 0.1535673875 -1.297846357 -0.33379314
## [434,] -0.439543142 0.304690353 1.1129930007 -1.595343342 1.79572280
## [435,] -0.886079790 0.799881668 -0.1690177131 -0.118989492 -0.93617369
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## [439,] -0.697507478 1.711127147 -2.0364477145 -1.807645949 0.54204188
## [440,] -0.810434615 -0.226350902 -0.4735737202 -0.395841528 0.19001608
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## [442,] -0.019878982 0.083412498 1.5133598265 -0.854816608 1.02995402
## [443,] -0.379401087 -0.181140905 0.1155466053 0.824139936 -0.99979219
## [444,] 1.783772803 0.302164339 -0.4773764193 1.317067729 -0.30570575
## [445,] 0.659393482 0.793912499 -0.8691863389 0.713711696 -0.09791983
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## [447,] 0.548793958 0.294312059 0.0932835331 2.053964645 -2.26258457
## [448,] -1.654325477 0.315797255 0.4601942443 -1.174320773 -0.06454266
## [449,] 0.903086852 1.000171932 -1.4367506776 1.010691366 0.48436937
## [450,] -0.187656057 -0.578855658 2.4274228902 1.272061351 0.22565802
## [451,] 0.452467269 0.455376943 -0.2876506571 0.414722382 2.41018221
## [452,] 0.217665041 0.538428276 -0.8192375581 0.719403134 1.13169362
## [453,] -1.051931076 -0.163110643 -0.4347668561 -0.340412847 0.23879682
## [454,] -0.304689743 0.084186577 -0.9774225195 0.336644491 -1.10973169
## [455,] 0.796737244 -0.234585116 0.4740311202 1.398534027 0.09252151
## [456,] 0.112337240 0.177400347 -0.5549209246 -1.026392282 -1.16949129
## [457,] 0.519943150 0.017655775 0.9269519840 0.779933330 0.79073941
## [458,] -0.716074961 -0.019660815 -0.1325586852 -0.017687686 -1.16841022
## [459,] 0.842042036 0.116907442 -0.1605738252 0.358800628 2.85154915
## [460,] -0.780540175 -0.146312570 -0.4194713392 0.052832283 -0.23706271
## [461,] 0.861546417 -0.428043287 0.3239001757 -0.138428751 1.14241149
## [462,] 0.261546498 -0.541644795 -1.7805527831 1.338671341 0.03896826
## [463,] -0.002543948 0.236349513 0.8527779262 -0.976126092 0.75353383
## [464,] -1.447870619 0.796507804 0.1198723238 -0.160968241 -0.26272859
## [465,] -0.402251944 -0.583430764 0.0836062275 0.109720347 -0.70081842
## [466,] -0.111623486 0.174717173 -0.0950031599 1.356650459 -0.69625457
## [467,] -0.619127597 0.229149092 -1.0156279911 0.051576586 -1.52385263
## [468,] -0.383812181 -0.721514528 -0.7641350287 0.808561050 -0.34551111
## [469,] -0.505718510 -0.210917843 -0.5020709282 0.145411758 0.34540356
## [470,] -0.426191333 -0.040953145 1.8041767406 0.262308216 0.63328365
## [471,] 0.898961102 -0.085421816 -1.2653430571 -0.318436794 0.99170784
## [472,] -0.595435801 0.215069557 -0.8469119923 -0.092162746 -0.11837253
## [473,] 0.737118882 0.606726569 -0.3654640935 -0.629356728 1.36517170
## [474,] -0.564472472 0.478274325 -0.0648249565 -0.046955437 -0.33295729
## [475,] 0.098335601 -0.359437615 1.1743983763 0.310085782 1.14485491
## [476,] -0.113977635 -0.390024406 0.3223171745 0.718505221 -0.66310895
## [477,] 0.331371306 -0.539446311 -1.2285979858 -0.132958952 0.80128771
## [478,] -0.705202043 -0.423852724 -0.9839585095 0.834705815 -0.20720895
## [479,] 2.246847233 -0.942178327 -0.7100563737 -1.933861438 -2.01968676
## [480,] -0.642713173 0.510054073 0.5411217914 -0.648731719 -0.17061857
## [481,] 0.107365823 -0.661696620 -0.0396350702 -0.033311784 1.00434480
## [482,] 0.283436667 0.428801526 0.0152108266 1.367414993 -1.15687998
## [483,] 0.065400487 0.090158465 -0.5254960923 -0.177935666 -0.86873917
## [484,] 0.092906489 0.061647983 -0.0521118436 -0.592007983 -0.99638498
## [485,] -0.531949195 0.721855476 1.5371275051 -1.026919595 -0.42602493
## [486,] -1.012445984 0.169653265 0.6815610725 0.784833196 -0.57115814
## [487,] -0.720914426 0.662413186 1.6026673024 -1.266610191 -0.45200293
## [488,] -1.103671226 0.479647023 0.1349428804 0.104864287 -0.25261647
## [489,] -1.981092306 -4.112394400 0.8408855525 -0.504793020 0.49829923
## [490,] -0.481504071 0.145646764 0.7202406335 0.675654032 -0.07616772
## [491,] 1.286562053 0.571081315 -3.0045908425 2.200112545 1.39462383
## [492,] -0.902497916 -0.187893628 -0.6553447474 -0.159320534 0.54341724
## [493,] 0.939123331 0.395336650 0.5945369778 1.135394818 -1.02127820
## [494,] -0.478821327 0.009144093 0.4088724608 -0.139362745 0.67216639
## [495,] 1.132293919 -0.242035975 -0.1600572798 -0.063539472 1.03349420
## [496,] 0.375523152 -0.638876224 -0.4122664536 0.842437946 0.19833226
## [497,] 0.087127323 0.517119986 -1.0680172500 1.613468206 -0.36078416
## [498,] 0.147861559 -1.086699708 -0.5832488993 -0.327562849 0.42721919
## [499,] -0.842538598 0.222271008 0.3186220417 -0.854300824 1.52295605
## PC11 PC12 PC13 PC14 PC15
## [1,] 1.3542167075 -0.8390318782 -1.335221239 -0.653479827 -1.201760984
## [2,] 1.1119057703 0.8050495986 0.122044327 0.187913164 -0.118213324
## [3,] 0.8047119226 -0.1774440450 1.735491254 0.062404790 -0.831311703
## [4,] 0.4923129469 -0.3571799061 -0.104640411 0.012379354 0.396415206
## [5,] -0.6793533175 -0.6529626298 0.195948672 0.943956948 -0.035879000
## [6,] 0.0920774460 -0.3891777643 -1.414937674 0.473655936 -0.135087170
## [7,] -0.1403325526 0.6861576912 1.947408696 -0.381963997 -0.241390831
## [8,] -0.1273500471 0.4444874767 -0.064070801 -0.648846009 1.020479941
## [9,] -0.2185516073 -0.5265172401 -0.721515723 0.184645475 0.650374109
## [10,] -0.1475182801 0.3546807726 -0.156753465 -0.507987500 0.046211252
## [11,] -1.1500378056 -0.9664273280 -0.756378824 0.770790917 0.217588839
## [12,] 0.6229115273 0.3692609465 -0.681177690 -0.645329985 -0.455908973
## [13,] 0.9589931767 0.4155300305 -1.004390277 -0.396077643 -0.143019564
## [14,] 0.5629572594 1.1832388210 0.891912349 1.105293361 -0.285804947
## [15,] -0.7580146110 -0.4245826202 1.238923011 -1.336075334 -0.616922621
## [16,] -0.2752851337 -0.6342422588 0.038063559 0.650813121 0.672469605
## [17,] -0.0303815755 -0.2276836198 0.555492026 0.638177913 0.038165845
## [18,] -0.0001096449 -0.1311612888 1.165236566 -0.257115813 -0.430162545
## [19,] -0.2276386065 -0.2716628718 -0.027488004 0.125562659 0.191491280
## [20,] 0.5900361064 -0.3955407747 -0.552963079 -0.756706581 -0.593077800
## [21,] -0.3618281726 -0.0995618058 -0.308617108 -0.010599219 -0.540934742
## [22,] 1.2416785196 -1.9296164691 -0.316941644 0.473586995 0.116089027
## [23,] -0.6517964559 0.3916285650 0.437846597 -0.194436931 0.362632658
## [24,] 0.0930029515 0.0722223406 0.542685457 0.742737219 -0.731174203
## [25,] 0.6539650679 -1.4120948005 1.137746124 -0.262194529 -0.988958125
## [26,] 0.9610677650 0.3392853842 0.363601821 0.392254411 0.086615959
## [27,] -1.4388112119 0.2947098666 -0.240396086 -0.042407846 -0.575471794
## [28,] -0.1904098695 0.4618737983 -0.810035489 0.801402904 0.392560201
## [29,] -0.0861874859 -0.2253184655 0.306845650 0.670217213 -0.211452310
## [30,] -0.7354258530 -0.7295878981 0.465209606 1.187560482 -0.144557029
## [31,] -0.3410652176 0.9248756130 -0.843890573 -1.696573356 0.033006063
## [32,] -0.7417956391 -0.1924596310 -0.691507400 -1.177244687 -0.103323023
## [33,] 1.3240225724 0.1459418445 -1.152195068 0.094129511 0.576323376
## [34,] -0.6363827613 0.2013398294 -0.853389892 -1.541378698 0.877812519
## [35,] -0.5647101277 -0.2781497714 -0.413960054 -0.166268715 -0.064692011
## [36,] -0.0557013033 1.6127275983 0.817604676 0.742013543 -0.755493157
## [37,] -0.1473745585 1.0210664472 -0.386338335 -0.379961410 -0.062531924
## [38,] 0.0545683199 -0.3405148813 0.729673617 -0.569399881 0.128266858
## [39,] 0.2926528023 -0.2057410002 -0.040422226 0.394097792 0.025946626
## [40,] 0.2496095897 -0.0084896256 1.016777983 0.561339268 -0.494803252
## [41,] -0.3415868702 0.3674537160 0.386789037 0.483660330 0.892373684
## [42,] 0.7419103638 0.1343991905 0.423326385 -0.147659080 0.261871674
## [43,] -0.7743143786 0.9448473759 -0.546705582 -2.087135617 -1.347601068
## [44,] 0.6996024208 0.1386716838 -1.552192680 0.775046538 -0.562216191
## [45,] -0.0257465232 -0.0532927218 -0.631829695 0.238653123 -0.228045333
## [46,] -1.2094088125 -0.0421318917 -1.099271598 -0.766400435 1.270325525
## [47,] -0.7719913054 -0.3918782250 -0.860040408 0.400716265 -0.699115286
## [48,] -0.1415355327 0.1494277456 0.312059750 0.051668201 -0.617662984
## [49,] 1.0351374441 0.0842553025 -1.032585112 0.042572684 0.715761384
## [50,] 1.1461639339 0.2696271483 0.202237419 -0.748034704 0.718899176
## [51,] 0.5914574471 -0.1805550956 -0.130799356 1.232288730 0.119425079
## [52,] 0.8050018606 -0.8285746824 0.958237627 0.021691457 0.675840847
## [53,] -0.4823485703 -0.5196757316 0.091033423 0.185206160 0.566789363
## [54,] -0.3111851965 -0.2682652932 -0.191064621 0.242432434 0.032055615
## [55,] -0.3758644789 0.2744836298 0.589152917 -0.102375631 -0.481857429
## [56,] -0.2102820829 1.1897721774 0.968486339 -0.408075652 -0.616024095
## [57,] -1.1145202622 0.2244600071 -0.329637050 0.462111227 0.256812493
## [58,] -0.3011498706 -0.0315582847 -1.402890906 1.006464704 -1.138290394
## [59,] -1.4242167006 0.1433279998 0.097917037 -0.294035807 -0.414302759
## [60,] 0.4003121787 0.5322677799 0.238867126 0.232023420 -0.373699042
## [61,] 0.5913373055 -1.3722988555 1.093437443 0.058265384 -0.110344779
## [62,] 0.0676647440 0.4394543802 0.145957429 0.990822504 0.213467906
## [63,] -1.6661235844 -1.1075055408 -0.675451505 -0.843087358 -0.384883924
## [64,] 0.6322992966 1.2426953838 1.685538826 -0.098344647 0.270122605
## [65,] 0.7187123246 0.0497947336 -0.703424821 -0.494030761 0.033970819
## [66,] 1.7194039534 0.0241817504 0.812624989 0.473629963 -0.396258468
## [67,] 0.3909606948 0.2181532388 -0.922774588 0.297166062 -1.063738268
## [68,] -0.8312379073 -0.4447912377 -0.341236761 0.110573014 -0.041025287
## [69,] 0.2625753518 -0.2947427427 -0.627647372 0.080097572 -0.760730892
## [70,] -0.3665735814 -0.4097206373 -0.108628198 0.073184223 -0.090772676
## [71,] 0.8001178223 -0.1749297355 -0.550125777 -0.532334611 -0.193834878
## [72,] -1.8065275622 0.2867300611 -0.478050831 0.173049578 -0.246360686
## [73,] 0.3738386048 1.4043490582 0.204927754 -1.398477383 -0.284826255
## [74,] 0.8742485773 0.4731417228 0.069473988 -0.560662688 -0.494221072
## [75,] 0.3654570487 -0.2496111110 1.316868638 0.004635775 0.751451682
## [76,] -0.4344614023 -0.3492317218 -0.026821200 -1.065953840 -0.349856811
## [77,] -0.7275441550 -0.0414542095 -0.570086279 -0.127894943 -0.050013588
## [78,] 0.9297846529 0.1809572905 0.776205175 0.297363806 0.084935402
## [79,] -0.3629181709 -1.4172229605 -1.002155797 -0.837914492 0.706407373
## [80,] -0.4405288837 -0.3883241462 0.198186409 -0.239873063 -0.361295344
## [81,] -0.3312227973 -0.0661387828 -0.305498675 -0.084459534 -0.478657000
## [82,] -1.3433034846 -0.8671931350 0.549879495 1.041441366 -1.543784784
## [83,] 0.7202236360 -1.7650286667 -0.456433381 -1.607563782 -0.733024569
## [84,] 0.2649286247 -0.0595111807 0.665498214 1.085266110 0.073071711
## [85,] 0.1637868376 0.0730884302 -0.109257381 0.046587021 -0.941923044
## [86,] -0.2979834176 -0.1696095790 -1.250694966 -0.210713441 -0.027635763
## [87,] -0.3203484210 -0.3549523442 -0.357737668 0.222970163 -0.003486022
## [88,] -0.3781899182 0.7875453519 -0.783555128 -0.109995182 -0.244331651
## [89,] -0.2546215002 -0.6830279664 0.385501679 0.420953245 -0.914380205
## [90,] -0.7712218947 -0.3563125241 2.135980288 -0.496732104 0.067253243
## [91,] -0.1068846307 -0.4490392792 -0.453358347 0.529246035 0.188846481
## [92,] 0.9784669629 0.2768851509 -0.160089582 0.170512329 0.163667288
## [93,] -0.8823430667 -1.2768575202 0.426396975 -0.558234761 -0.660628360
## [94,] 0.6236000765 0.3015984129 0.718437980 -0.457154087 -0.425141443
## [95,] -2.1141127049 -1.4166110367 -1.225308196 -2.174171233 0.531875823
## [96,] -0.2907156926 -0.0877888353 1.584658204 -0.884686247 -0.351960432
## [97,] 0.2737122261 -0.1905664558 0.081468644 0.533065842 -0.156606193
## [98,] -0.3676182167 -0.2522314118 1.213820647 0.623342303 -0.601948686
## [99,] 0.0656328488 -0.2616204324 0.868081090 0.471712587 0.722633576
## [100,] -0.3615338377 -0.2825688967 1.271609371 0.135190213 -0.042850086
## [101,] -0.3568284099 0.9440178044 0.395564352 0.787885562 0.042002852
## [102,] -2.2748422173 1.2744206595 1.404502854 0.215428505 0.444664568
## [103,] 0.5945581622 0.3263145538 -0.292760103 -0.784104630 -0.504118028
## [104,] -1.7913731956 1.0064747323 -0.212522790 -0.400275287 -1.786815478
## [105,] 1.2145127005 0.2535290323 -0.144622518 1.033071732 0.557583486
## [106,] 0.0616879964 -0.5885435971 0.121022273 0.359032748 -1.589760082
## [107,] -0.4990025666 -0.2934109975 0.234775531 0.929086162 -0.688396944
## [108,] 0.1943422673 -0.5956894313 0.066780996 -0.055679757 0.691364616
## [109,] -0.5385868212 0.8400999184 -0.540763007 -0.140692987 -0.424811898
## [110,] -0.0165906366 -0.7790148386 1.537348678 0.690869189 -2.014170584
## [111,] -0.6520987804 -0.6437195776 0.565358030 1.022560611 0.026809436
## [112,] -0.3227141149 0.8282651306 -0.255776416 -0.231798323 -0.292177553
## [113,] -0.3698020785 -0.6177478884 0.081542625 0.256644404 0.232506506
## [114,] -0.6411367529 -0.4564833689 -0.018502698 -0.600024340 -0.207559215
## [115,] 0.5651553302 -1.9852142497 0.212624373 -0.003578361 -0.225878224
## [116,] 0.6336525909 0.3741383252 -0.380434792 -0.914546018 -0.426373523
## [117,] -0.3835254863 -0.6668933451 -0.797041351 1.036263621 -0.338720660
## [118,] -0.0310990047 1.0657044007 -1.972389810 -0.108250147 -0.071671960
## [119,] -0.1131944290 0.9865710839 0.900357550 0.042872037 0.032322116
## [120,] -1.4704977899 0.4537612112 -0.963903012 1.126794814 -1.268625793
## [121,] 0.6523780470 0.9396102714 0.080094942 -0.441508426 1.062781025
## [122,] 0.5843199396 1.5410168034 0.265719088 0.543885050 -0.131498636
## [123,] -0.0159579974 -0.0387095940 -0.140337270 -0.049920531 -0.272638254
## [124,] -0.2395319717 0.0127109333 0.881188234 0.582686509 0.344212479
## [125,] 0.6912167607 0.1645288802 -0.932035960 -0.918312222 0.133864648
## [126,] 0.0867015786 -0.3148039376 0.546112174 0.002066068 0.186428755
## [127,] -0.7766289254 0.0026482701 0.055084608 -0.193739519 -0.847232445
## [128,] -0.7895504501 0.7361386195 -1.133000381 0.150963649 0.176441129
## [129,] -0.3191589897 -0.1196564205 0.887285654 0.355653155 -0.430613939
## [130,] 0.1432746344 -0.3884029819 0.964521623 -0.292839049 0.152928514
## [131,] 0.3790258541 0.3975833744 -0.088380671 -0.332176353 -0.041223986
## [132,] 0.7905464455 0.0889207952 -0.164338047 -0.191104403 0.830504683
## [133,] 0.2690422035 0.0954172464 -0.627142688 -0.375169574 -0.896691399
## [134,] 0.8753979196 -0.0213760943 -0.138733642 0.171152686 0.282427019
## [135,] -0.3294354202 -0.1000979759 0.336290051 0.163887347 -0.462368851
## [136,] 2.3258913164 -1.5361057232 0.713768473 -0.217227119 -1.514151071
## [137,] -0.6516341472 -0.6192837542 0.315105325 0.561578770 0.024589975
## [138,] 0.9250124479 -0.1510337742 0.958938193 1.124864184 0.653611074
## [139,] 0.2248122021 0.0234268895 -0.039816662 0.206098188 -0.566046456
## [140,] 0.4020383979 -1.0971071831 -0.710761493 -0.116045249 0.527587161
## [141,] -0.3349994734 0.2935675007 0.792205317 0.815783229 0.926451723
## [142,] 0.6207100315 -0.1494368413 -0.523094396 0.238949366 0.321149812
## [143,] 0.6792647749 -0.4834152327 -0.680161075 -0.665373913 -1.089426198
## [144,] 0.0454428308 0.1209361173 1.286759337 -0.038068705 0.841768123
## [145,] -0.0221084738 -0.0713982042 -0.271917246 0.626174319 -0.015108653
## [146,] -0.4142772059 -0.9952604987 -0.487569677 -0.364273547 -0.560464107
## [147,] 1.1034591733 0.2238705198 -0.172265570 -0.068149957 0.621161370
## [148,] -0.4447877884 -0.2555756842 -0.898566531 -0.323715080 -0.379721380
## [149,] -0.3522623670 -0.1714098295 -0.654354995 -0.015162488 -0.203372071
## [150,] 0.3900783584 0.6922572922 -1.057462220 -1.418089183 0.997533062
## [151,] -0.5489993295 -0.9300059727 -0.118310392 -0.339025877 0.358883312
## [152,] 0.0756615609 -2.0613153201 0.287264899 1.095127577 0.550367660
## [153,] -0.0932590127 0.2831730761 -0.588317444 -0.308472490 -1.079295211
## [154,] -0.3633916337 -0.1577009696 0.699462541 0.390211639 -0.524235900
## [155,] -0.4526026706 -0.1976901302 -0.550307239 -0.191090662 -0.375113268
## [156,] -0.5480424980 1.8153604521 0.466813743 0.074700161 -0.198020180
## [157,] -1.1768551904 0.3737031164 -0.543334683 -0.108121204 0.013276694
## [158,] 0.6763179338 -0.0972473964 -0.542102625 0.456327673 0.432047302
## [159,] 0.6444835865 0.3679368963 1.006098243 -2.562876098 -0.366393620
## [160,] -0.3253221997 -0.6850075778 0.230528701 1.207180573 0.507141046
## [161,] -0.2792314788 -0.0902696652 0.326986152 0.320658809 0.134483107
## [162,] 1.1161927534 0.2454716424 -0.308455254 -0.153021566 0.644361514
## [163,] -0.3703172260 -0.1139625542 -0.217823986 0.045981854 -0.556401505
## [164,] -0.2812408906 0.4810615768 -0.396418883 -0.436110877 -0.226632722
## [165,] 0.1474214226 -0.1108841381 -0.721346094 0.827432534 -0.193148795
## [166,] 0.7773582116 -0.0942325291 -0.222186339 -0.134146043 0.775298865
## [167,] 0.7734094277 0.1508426169 0.747339181 -0.097345954 0.332293491
## [168,] -0.9124102563 0.7207005942 -0.151217109 -1.739148258 -0.258834149
## [169,] -0.4818729002 0.3932290495 -0.178412198 0.544742096 -0.892807557
## [170,] -0.1597980062 -0.5008307614 -0.028093569 0.313562263 0.783484362
## [171,] 0.9576883615 0.4090485000 0.002091283 -0.024017363 -0.466402718
## [172,] 0.4228065404 1.1686619242 -0.605781601 0.464099758 0.160707866
## [173,] -0.0666283290 -0.0671573001 -1.185943732 0.120747629 -0.322077987
## [174,] 0.6570916568 0.3347655833 0.605518195 -0.222496538 -0.361054932
## [175,] -0.5595632979 -0.2193136334 -0.084917894 0.308593154 -1.066492994
## [176,] -0.0064778764 -0.2426205384 1.291192308 0.869245552 0.101264974
## [177,] 0.2129452669 0.2361426824 0.159891343 0.522910025 -0.116006186
## [178,] 0.2556944966 -0.4040075329 -0.223772512 1.252450321 0.000850094
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## [381,] -1.5273139076 2.4241456986 -0.056605327 0.600799761 0.800119876
## [382,] -1.8441259843 0.6948832680 0.471078938 0.833587582 -0.104303000
## [383,] 0.2239013026 0.8131791684 0.056309635 1.126492697 0.127463030
## [384,] -0.0987880303 0.4561730639 -0.101645993 -0.610814081 0.320115675
## [385,] 0.9678859462 -2.1580823445 -0.436007016 -0.334975055 -1.151911172
## [386,] 0.6653967607 0.3645168845 0.075259399 -0.131941563 0.226023374
## [387,] 0.5532028760 0.0166317403 -1.129114937 0.872383174 0.259762862
## [388,] 0.4932367633 1.1309360262 -0.571212874 0.015891957 -0.133490854
## [389,] -0.1331217859 0.6576705725 1.085065766 0.185744320 0.573769416
## [390,] 0.0729213030 1.9771986580 0.428894820 -0.198019644 0.058081238
## [391,] -0.1197877725 -0.4554720957 -0.059847128 -0.368017020 0.175686796
## [392,] -0.1589043177 -0.5178103580 0.292800794 0.437735703 0.791628437
## [393,] -0.4652976335 -1.3944590331 0.766673098 -0.043863121 0.332605028
## [394,] -0.5296955844 -0.8758801875 0.951132952 0.526470545 0.661616988
## [395,] 0.1104756884 0.3255948244 1.320177597 0.212378843 -0.635900209
## [396,] 0.8102739627 0.2227042490 0.003155239 -0.690463718 -0.297716837
## [397,] -0.1470285389 -0.6538897747 0.773639836 0.638370910 0.666725697
## [398,] 0.1489537684 0.9484107125 0.641154659 0.703108602 -0.560928004
## [399,] 0.6282840360 0.4019672125 0.218157330 0.613947331 0.102931438
## [400,] 0.8011201203 1.5272860228 0.679752131 0.719371898 -0.545575148
## [401,] 0.3499682956 -0.0775187435 -0.401297221 -0.193265350 0.432094217
## [402,] 0.8632914930 -0.2651191253 -0.757232620 -0.065408729 -0.137116790
## [403,] -0.3677586886 0.8249157203 -0.129081077 -0.990949156 -0.933137643
## [404,] 0.6988571091 -0.3374633904 -0.469332314 0.828865106 0.786943204
## [405,] 0.8240524038 -0.0178608706 0.864891668 0.155685699 0.905283849
## [406,] 0.4323654306 -0.2531934604 -0.717703517 -0.887927597 1.050992594
## [407,] 0.5548206914 -0.0021591466 -0.230004676 0.138595390 0.286091469
## [408,] -1.3924728054 -0.3699729803 -0.075439579 -0.680265867 -1.140961658
## [409,] 0.5465810846 -0.5497008536 -0.276402705 0.242625398 0.529690228
## [410,] 0.5363575621 -0.4016971359 -0.628762586 -0.261656611 0.317091366
## [411,] -0.4908035688 0.6797333005 -0.130612301 -0.078736443 0.069087151
## [412,] -0.0998291400 -1.2990305507 0.656583029 -1.297189665 0.202098297
## [413,] 0.2168368672 -0.0501211341 0.249810465 -0.864704720 0.120117821
## [414,] 1.2953788226 -0.9264356212 0.241478867 -0.008186709 -0.096626532
## [415,] 0.0760011201 0.6221832123 1.560584779 -0.295462051 0.846731048
## [416,] 0.8808941000 1.9095643936 1.386808076 -1.223248011 -0.175483554
## [417,] 0.0826209349 -0.3699353137 0.242204164 -0.130344648 0.719341965
## [418,] -1.4866471353 0.1715445800 0.382345165 -1.124054372 1.583982393
## [419,] -0.2039808992 -0.3144535461 -0.438773917 -0.300680619 0.558178708
## [420,] -0.7839332237 0.6108463843 0.034394216 -0.102002735 0.200791778
## [421,] 0.5919963892 1.2899359291 0.407328238 0.297427946 0.761962587
## [422,] -0.5113179524 1.9527170762 -0.380085986 -0.116728222 -0.178638214
## [423,] -0.2123612310 -1.0424274037 0.339164376 -1.163586147 -1.080084884
## [424,] 0.6489356439 -0.2775646169 0.312860628 0.008991977 -0.663182953
## [425,] -1.7833041613 -0.7345971944 -0.458849691 -0.635458711 -0.050356824
## [426,] -0.3291578589 0.1254812194 -0.007787677 0.112151600 -0.327097117
## [427,] 0.1150585030 1.2311638827 0.344530854 0.110392723 -0.332670136
## [428,] 0.6008816070 -0.3526426215 0.712453158 0.453273904 0.148448710
## [429,] -0.2313116712 -0.7229566042 0.321796980 0.413592056 -0.363927841
## [430,] 0.2229227982 1.0986914111 -0.244254810 -0.754012742 0.332628528
## [431,] 0.1081837057 -0.3050491803 1.147597970 -0.536365997 0.245499655
## [432,] -0.2444116980 0.6960463831 0.231409770 -0.159264708 0.080249336
## [433,] 0.7350594364 0.1403909790 0.127747966 -0.565444025 0.460829811
## [434,] 0.1252754554 -0.8935272213 0.112268911 0.196343923 0.012178057
## [435,] -0.6033236989 0.2281301569 0.274245957 0.613029037 1.347823313
## [436,] -0.4312057848 -1.4447702171 0.563153991 0.071382156 0.274834667
## [437,] 0.1971828073 0.0845717125 -1.399950341 0.517522700 -0.357593938
## [438,] 0.7524780257 -0.2968462314 -0.376179777 -0.394388460 1.049547605
## [439,] -0.5578354299 -0.0863127031 -0.476019507 0.691500096 -0.005097571
## [440,] 0.5814940317 -0.2087225893 -0.205764584 -0.197753454 0.025511760
## [441,] 1.3318917989 0.7874247170 -0.086934122 0.590939201 -0.954376863
## [442,] -0.5118563952 -1.2802255120 -0.704358490 0.293077909 -0.046810718
## [443,] -1.0980360656 -0.0271833616 0.289192388 0.063632591 0.552895021
## [444,] -0.0118578338 0.2167056829 -0.139841258 -0.079158883 -0.248988204
## [445,] -0.2594076997 -0.2340528473 0.394238322 -0.227507990 -0.861768888
## [446,] 0.0767863491 0.1333700678 -0.365010497 0.376970483 0.081686242
## [447,] 0.1496484054 0.1009842048 0.211803334 -0.326711371 -0.554114585
## [448,] 1.0246215066 -1.6390392053 -0.123394783 0.350233287 -0.682328862
## [449,] 0.2850164228 -1.0114445247 0.907943315 0.813616900 0.268210813
## [450,] -0.7122660898 -0.0128152788 0.196001229 -0.278968535 1.636069395
## [451,] -1.7454833061 0.7665395496 0.627907437 -0.675613832 -0.178201008
## [452,] 0.7747315003 -0.1202237902 0.722320483 -0.839643290 0.793894091
## [453,] 0.7524453398 -0.6895073216 -0.061345072 -0.445652095 0.356167184
## [454,] -0.3933010794 -0.3671611754 -0.780869409 0.987494583 0.203303393
## [455,] 0.0026198669 -0.8802674756 -0.785372543 1.424978381 -0.917184469
## [456,] 0.2574665235 1.1471140780 1.035702376 -1.539528315 -0.061546922
## [457,] 0.7052869999 -0.2661633479 -1.267466083 0.166861264 0.182632578
## [458,] -0.1289278833 -1.0539329571 -0.468353882 -0.054718268 0.610581317
## [459,] -0.6583929523 0.3565638446 0.891201043 1.340957293 1.172738485
## [460,] 0.5997449581 -0.0594637028 -0.878830998 1.524358320 0.077249043
## [461,] -1.0084826922 0.3059960745 -0.609230673 0.587991631 0.869284713
## [462,] -0.4616809390 0.2389002836 -0.995973363 -0.003072753 -1.381382722
## [463,] -0.8544543347 -1.2583469508 0.288232093 0.041521724 -0.610199844
## [464,] -0.0760541781 -0.9696472637 0.484579000 0.711429510 -0.347712868
## [465,] -0.0744563006 -0.3837242061 -0.629850960 -0.342404520 0.254829375
## [466,] 2.3877284251 -0.6445370373 -1.303752450 -0.468697114 0.592509936
## [467,] -0.4636329504 -0.7496778447 0.273959069 -0.241640528 0.949594352
## [468,] -0.0251216905 -0.6339815132 -0.262190402 -0.686569035 0.820004778
## [469,] -0.1704886134 1.8220164140 0.714124389 0.599641277 0.424073209
## [470,] -0.5121931214 0.6249539278 1.128841180 -0.372709147 0.464727608
## [471,] -0.5056180745 -0.4954712958 -1.152241099 0.475291344 0.491430314
## [472,] 0.2742365878 -0.1320067191 -0.913133130 -0.209019993 0.268050439
## [473,] -0.9646160585 0.6858109107 -0.879638380 -0.369950135 0.378353546
## [474,] -0.5952726045 0.9788733623 -0.048970287 0.104514966 -0.284067674
## [475,] 0.9635907772 1.2396342616 -1.515897563 0.306307515 0.566332634
## [476,] -1.0836690160 0.4484217807 -0.284191483 1.305403304 -0.910291760
## [477,] -1.2474742002 -0.8089627770 -0.759635489 0.205133359 0.340042685
## [478,] 0.1270371266 -1.4695069438 -0.171155629 0.021919871 -0.140628941
## [479,] 0.1530892910 -0.9015834717 0.580326359 -0.592355393 -0.227212800
## [480,] -0.1781778153 -0.2544763526 1.521623047 -1.192226967 0.331435149
## [481,] -1.6965259534 -0.1566650120 0.265957366 0.459491998 0.112317012
## [482,] 1.2715768281 1.7795248836 -0.077938273 0.099692926 0.844098233
## [483,] 0.4317369145 -0.2296982819 -0.118146241 -0.266244503 0.512565465
## [484,] 0.3638963142 -0.0005303922 -0.117540676 -0.454244107 -0.079427617
## [485,] 0.4747970273 0.4560764543 -0.165245093 -0.784073520 0.507677120
## [486,] -0.4665881355 -1.4842361392 -0.495078547 1.338317560 -0.517087594
## [487,] 0.5381076467 0.2561772157 0.458505597 -0.974226335 0.333396684
## [488,] -0.2179486181 -0.4411455092 0.204170284 0.355760929 0.508136428
## [489,] 0.2161722957 1.9287359750 -0.136144209 0.125484014 -0.642096358
## [490,] 0.3035417256 -1.1237087667 0.067009928 -0.613998521 -0.277005999
## [491,] 0.3810242318 -0.1666734610 1.296842497 0.069755433 0.899001459
## [492,] 0.9078925399 -0.2282314589 -0.606941580 0.690541851 0.158422637
## [493,] -0.4893926815 -0.4952354525 -1.187569008 0.629952148 0.851133117
## [494,] 0.2327953660 -0.0852221244 0.849059657 0.513800161 0.014909814
## [495,] -1.4649412529 0.5529571694 -0.445646364 -0.065352555 -0.396007604
## [496,] -0.0745516169 1.1884399671 1.009547836 0.010708070 -0.186283129
## [497,] -0.8880318353 -0.8524930333 0.168430308 0.262811058 0.590072028
## [498,] 1.2293121693 1.3237879309 0.805266934 0.853220026 0.093281795
## [499,] -0.9047601387 -1.3682466199 0.233433553 -0.240674932 -0.164573289plot(Diabetes_pca$x,xlim=xlim,ylim=xlim)
Diabetes_pca$rotation[,1]## HighBP BMI Smoker
## 0.326149229 0.167626995 0.093333990
## Stroke HeartDiseaseorAttack PhysActivity
## 0.211842691 0.239087419 -0.291085313
## HvyAlcoholConsump AnyHealthcare GenHlth
## -0.090283959 0.005143826 0.440430257
## MentHlth PhysHlth Sex
## 0.233893964 0.349300603 -0.079777876
## Age Education Income
## 0.212579671 -0.320398143 -0.370084452Diabetes_pca$rotation## PC1 PC2 PC3 PC4
## HighBP 0.326149229 0.246399261 -0.13303779 -0.26080449
## BMI 0.167626995 -0.101839483 0.04120408 -0.66482697
## Smoker 0.093333990 0.350190124 0.28938167 0.05229281
## Stroke 0.211842691 0.162241675 -0.13665199 0.37073969
## HeartDiseaseorAttack 0.239087419 0.316667386 0.01177870 0.29208452
## PhysActivity -0.291085313 -0.057618287 -0.03361984 0.27464859
## HvyAlcoholConsump -0.090283959 -0.002662284 0.24257599 0.16136839
## AnyHealthcare 0.005143826 0.329295696 -0.02590574 0.07389193
## GenHlth 0.440430257 -0.097915017 0.22701840 -0.03692534
## MentHlth 0.233893964 -0.265986788 0.38061240 0.30151528
## PhysHlth 0.349300603 -0.111540622 0.41669288 0.06206433
## Sex -0.079777876 0.433715325 0.43256510 -0.22683585
## Age 0.212579671 0.450806495 -0.35680625 0.04305580
## Education -0.320398143 0.186484273 0.19327836 -0.08877913
## Income -0.370084452 0.221427867 0.30917390 -0.01554688
## PC5 PC6 PC7 PC8
## HighBP -0.008269941 -0.10906402 -0.09655581 -0.2698343702
## BMI -0.071433125 0.03572986 -0.05743480 -0.5231458782
## Smoker 0.550101274 0.17628365 -0.18612003 0.0120565846
## Stroke -0.401701344 0.27739720 0.01466837 -0.1542399862
## HeartDiseaseorAttack -0.195132878 0.27008153 0.01483961 -0.3002428568
## PhysActivity 0.342307829 -0.09372920 -0.03906327 -0.5642317955
## HvyAlcoholConsump -0.283092530 -0.37582616 -0.79934851 -0.0963949484
## AnyHealthcare 0.129072603 -0.70109968 0.33836227 -0.0857513055
## GenHlth -0.114296874 -0.13677232 0.07770650 0.1028945455
## MentHlth 0.182407069 0.04554311 0.21335985 -0.3036853105
## PhysHlth -0.112870068 -0.23770044 0.12456154 0.1647823988
## Sex 0.096176135 0.25417875 -0.06652457 0.1513946402
## Age 0.034914264 -0.14596999 -0.05282487 0.0993500168
## Education -0.380645175 -0.02380269 0.32104021 -0.2041259867
## Income -0.253703680 -0.02291390 0.14131551 -0.0006541796
## PC9 PC10 PC11 PC12
## HighBP -0.32944063 -0.357349004 0.110808684 0.136294368
## BMI 0.26013875 0.145731702 -0.029611678 -0.050232966
## Smoker 0.37261357 -0.352592375 -0.321088908 -0.213702039
## Stroke 0.50830550 -0.209563654 0.432075377 0.040035634
## HeartDiseaseorAttack -0.17340541 0.540775940 -0.435655890 -0.140156256
## PhysActivity -0.19189638 0.027185580 0.410766222 -0.408359237
## HvyAlcoholConsump 0.02699488 -0.003146716 -0.081614107 0.133060848
## AnyHealthcare 0.37486619 0.259043096 0.004676320 0.197339594
## GenHlth 0.02231245 -0.095542371 0.124716063 -0.211497810
## MentHlth -0.19103418 -0.154036780 -0.068708928 0.590671465
## PhysHlth -0.14370660 0.044890882 0.116925618 -0.480698849
## Sex -0.11572066 0.317028455 0.490189988 0.223919970
## Age -0.36258045 -0.171491658 0.025402519 -0.006981887
## Education -0.06052129 -0.372124247 -0.238667548 -0.115815696
## Income -0.11077971 -0.138820034 -0.003060682 -0.016800980
## PC13 PC14 PC15
## HighBP -0.585988402 -0.08847753 -0.18655896
## BMI 0.316706307 0.19736718 -0.05395146
## Smoker -0.006698845 0.03241176 -0.02610930
## Stroke 0.043461280 0.03579847 -0.12886628
## HeartDiseaseorAttack -0.143795436 0.00484345 0.05542146
## PhysActivity 0.013493987 -0.01277978 0.12707956
## HvyAlcoholConsump 0.073539002 -0.07393938 0.03663940
## AnyHealthcare -0.086324735 -0.03441972 -0.01159808
## GenHlth -0.102959393 0.06712893 0.78110078
## MentHlth 0.215903965 0.06667656 -0.02789805
## PhysHlth 0.117119501 -0.04146314 -0.54157819
## Sex 0.065262372 -0.23117564 0.06108071
## Age 0.622968346 0.18299730 0.06392318
## Education 0.179008537 -0.52007680 0.11000067
## Income -0.159175565 0.75892425 -0.01334982plot(Diabetes[,-1])
Diabetes_pca$x## PC1 PC2 PC3 PC4 PC5
## [1,] -0.606240531 -0.398177515 2.391958872 -0.2383106771 -0.849227041
## [2,] 0.352807562 2.830353077 0.002293405 0.3251954957 -1.543227577
## [3,] -2.178113675 1.159551255 0.002062511 0.1841974664 -0.406924179
## [4,] -0.926465857 1.912889526 0.678087521 -0.5739676536 0.514738888
## [5,] -1.818475684 -0.049966573 -0.037373299 0.3764022678 0.784162415
## [6,] -2.163596044 -3.776800002 0.374854500 1.2299026639 -0.245668765
## [7,] -2.169569628 1.584375518 0.934135847 1.1467231594 -0.043214444
## [8,] 0.410018794 -0.244220845 0.708821575 -0.8335133071 0.941381915
## [9,] -2.255473061 -1.532074349 0.440338251 -0.2104653518 -0.874913480
## [10,] -0.015428398 -0.071476543 0.881305129 -0.3898030050 0.899067779
## [11,] 0.823915461 1.518058248 -0.931243547 1.2415755698 0.805118711
## [12,] -3.359160479 -0.152943084 0.736066936 0.4546072340 -0.357326944
## [13,] -1.935232397 0.678628476 0.298886842 -0.6341401395 -0.494977091
## [14,] 1.177495858 0.074250873 -0.021325458 -3.8360558955 -0.605865256
## [15,] -0.889377976 -0.320872696 -1.456080424 0.4881671112 1.696106536
## [16,] -0.912251229 -0.015763802 -0.631110084 1.5237722632 1.414935038
## [17,] -1.738441113 -0.697026763 -0.879499871 0.1992750422 -0.201299839
## [18,] -2.320801387 1.317180255 0.440297993 -0.1961042303 0.841201444
## [19,] -2.528846362 -0.440392279 -0.484142286 1.0442640296 -0.589561666
## [20,] 0.342525268 -1.420096473 0.714265293 -1.2900570223 -1.367258714
## [21,] -3.015466346 -0.718654644 -0.403400036 0.8535263483 -0.537830784
## [22,] 1.038127484 1.079553946 2.160644012 -0.4933776094 0.351709034
## [23,] -2.940616400 -0.483146821 0.763133788 1.6755372819 -2.051858581
## [24,] -1.644467931 -0.890240937 -1.396780233 0.3230041143 0.374459258
## [25,] 0.791264060 -1.616856831 -0.107904756 0.9238608396 0.308930030
## [26,] -2.097172293 0.069325402 0.398220866 -0.0126187072 -0.075461614
## [27,] -0.474682328 1.419714227 -0.643430572 0.1238195558 -0.100607637
## [28,] 0.961013814 -0.590986484 -0.832699432 -1.0518672709 -0.727404742
## [29,] -1.651639608 -1.403389957 -0.255879115 -0.5217829965 -0.298555910
## [30,] -1.632691189 -0.377051615 0.159385549 -0.6877574285 0.658635224
## [31,] 1.704135781 -2.164982745 1.656040529 1.4758181910 1.892349121
## [32,] -1.361771076 -1.469442667 0.147203074 0.9989437926 1.449439776
## [33,] -1.778087810 -0.784948456 0.695934712 0.6764068099 0.276939083
## [34,] -0.036878893 -1.966125490 -0.336146676 0.4876191828 -0.566905743
## [35,] -0.123794448 2.470797244 -0.066397476 0.2080989751 0.715706105
## [36,] -1.195731733 -1.476909516 -0.467396531 1.6590965153 0.898281182
## [37,] -2.190642492 -0.006794962 0.893728613 -0.5237881368 -1.208082754
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## [242,] 0.627074325 -0.101929617 0.079287476 -1.1067436215 -0.311565483
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## [245,] -1.447274453 1.624769434 0.649773461 -1.0694759508 0.570091823
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## [250,] 4.428265216 -0.732919739 2.005357954 1.2367665473 0.378068966
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## [254,] -0.714789462 0.305537553 -2.302561737 0.0681158907 0.299880353
## [255,] 2.334774276 2.704093075 0.339390019 -0.0318736422 -2.051359844
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## [257,] 1.944551322 -0.740777721 1.626755679 0.3714668369 0.578256279
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## [259,] 1.094230151 0.465482101 -1.851676556 0.0068573145 1.438641495
## [260,] 1.237333632 -0.034239281 -1.792583816 -0.8412041068 -0.353840739
## [261,] 2.529184930 -0.175083321 -0.156122271 -0.7878152268 0.639623097
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## [263,] 0.190814865 -0.374294931 -1.835094087 0.0581564364 0.443250458
## [264,] 0.790737539 -0.127953917 -1.619547830 0.8176314567 2.182852394
## [265,] 1.110053840 1.417747125 -1.371679594 2.0190129153 -1.114161144
## [266,] -1.119104859 1.351207556 0.607242070 0.2969278326 -0.936878128
## [267,] -1.357124742 0.549458308 0.028927390 -1.2954366968 -0.198829834
## [268,] 0.616068372 -0.174215049 -2.800934853 1.1595770959 1.074781143
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## [270,] 0.458935894 2.690669078 -0.123515018 0.0176524780 0.623018435
## [271,] -0.996924504 1.641498550 1.470054123 0.2257874147 -0.425221416
## [272,] 2.140230215 -0.866617163 0.526516846 2.9046079230 0.480533450
## [273,] 4.457069978 -0.494403259 0.970378573 1.3817161350 0.952783388
## [274,] -0.666539959 -3.828176979 0.008926577 -0.4419553100 -0.670196079
## [275,] -1.541869231 0.869588692 -0.084186918 -0.8813222034 -0.387309668
## [276,] -0.143239703 0.569782309 0.319633597 -0.8466109700 1.524646148
## [277,] -0.501110874 -0.995595840 0.446656300 -0.4042375283 -1.617179350
## [278,] -0.107107881 1.617387833 -0.249359837 -0.0116262450 1.558446885
## [279,] -0.561078551 -0.226418683 -1.049244728 -0.8118788322 -1.075291787
## [280,] -1.396723892 1.240234353 2.002637315 0.1711781393 -0.576502455
## [281,] 0.646480535 -2.179516284 -0.408560794 -1.0570230599 -1.355562172
## [282,] -0.439698862 0.069669038 -1.982025106 0.1158479111 0.199222199
## [283,] 1.370494088 -1.194375689 0.857329955 -0.4201467581 -0.717264604
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## [286,] -0.147980407 0.335017480 0.107068200 -0.3587166242 1.902029257
## [287,] 0.734673295 -0.722542517 -0.367272623 -1.7800948595 -0.978268499
## [288,] 0.438006650 -0.202127137 -0.919653639 -1.2737697695 -1.013597139
## [289,] -0.829013043 1.474232758 0.034518910 -0.5734206544 1.214295370
## [290,] 2.833537970 0.386978912 -0.348320540 0.2418215081 -1.484241325
## [291,] 0.201216164 1.289391972 1.349836433 -0.8420173343 0.590690984
## [292,] 0.107365207 1.295411839 -1.226272207 -0.2884173406 -1.212943255
## [293,] 0.004486861 -0.112389812 -1.012442137 -0.7099291764 -0.582001723
## [294,] 3.839594442 1.222279205 -0.198441097 2.1012570498 -1.023695167
## [295,] 2.409949802 -0.932314848 -0.859022067 -3.2002040769 -0.977819197
## [296,] -0.129783177 0.152960930 -0.231536561 -0.1837164719 0.956447184
## [297,] 2.705561285 0.787382924 -2.004343029 0.7839861379 -0.339283631
## [298,] -0.122989304 -0.405698723 -1.500166688 -0.3288034971 0.034472035
## [299,] 2.486750398 0.034906840 2.997751969 -1.3772655827 0.081046474
## [300,] -1.263723371 2.157412326 0.064034677 -0.1572022738 0.813525634
## [301,] 0.247663844 0.013667682 1.203674645 -0.7798042892 -0.221452098
## [302,] -1.615147588 0.535827841 0.876844304 -1.1371862152 0.389131642
## [303,] 0.788147811 1.695184711 -0.051008219 0.2036491818 -0.860983167
## [304,] -0.145496013 0.598493755 -1.785937598 -0.1776136468 -0.707043834
## [305,] 0.374167504 0.044847437 -1.769197012 2.0288660749 -1.089885887
## [306,] 0.216686851 0.944572528 0.532783011 -0.4174388474 0.838779621
## [307,] -0.970090272 1.376763254 0.104374062 -0.1512884301 -1.166352898
## [308,] 1.011360802 2.869558263 0.264338584 1.2174866402 -1.139843699
## [309,] 0.335455960 0.024856944 -1.441289668 -0.6153653958 -0.759201034
## [310,] 0.779038416 -0.821471024 0.174741497 -0.6430344052 -0.553466284
## [311,] 1.239550895 -0.786244220 -0.409069421 0.0582451742 -0.306509720
## [312,] -0.619765407 1.626242412 0.511906751 -1.1845767570 0.251519696
## [313,] -1.085765196 0.637582815 -0.307456383 -0.3309066745 -0.164654272
## [314,] 1.252051299 0.094037041 -2.007748112 2.0059232209 -0.924944481
## [315,] 1.576130020 -0.792809607 -2.169803465 0.3703292871 1.024334510
## [316,] -1.724178861 0.030380919 0.348602751 0.1642768101 0.310757084
## [317,] 2.928234792 -1.598205619 -0.207195212 0.7868930206 0.382525260
## [318,] 2.337052664 0.703104332 -0.104162615 0.3716043467 0.023738448
## [319,] 1.186018770 0.548877227 -1.551560380 0.4491179466 -0.064874763
## [320,] 1.395664161 2.424887769 -0.863757415 0.4538659318 -0.714794890
## [321,] 0.570207924 1.334923877 -1.660732661 1.0042495179 -2.706682832
## [322,] 2.681061281 -1.882530282 -0.273926196 -1.7493576510 -0.065185282
## [323,] 3.124464720 -1.131762190 0.519984527 -1.3079166875 0.498012163
## [324,] 3.293343026 0.273184647 2.181847363 0.7496439633 1.181465945
## [325,] 2.483991926 0.720932692 -0.499030878 -0.3696884785 1.906892835
## [326,] 0.610662789 -1.254233726 -1.402942519 -1.5240174995 -0.328671759
## [327,] 0.249460741 -0.345003461 -1.243633875 -0.2830147377 -0.501703650
## [328,] 1.020133169 1.241771946 -1.503247274 0.0915155033 0.999858587
## [329,] 0.846768298 -0.423020032 0.108279770 -2.6045923410 -0.654027818
## [330,] 0.131310551 0.400038015 1.038631752 -0.3144548472 0.623358321
## [331,] 4.323580385 0.605692051 1.770771844 -1.1806992865 0.561695312
## [332,] 3.365603536 0.154891277 -1.819942040 2.6670670612 -0.899902402
## [333,] 1.081331546 0.004681426 -2.092878227 -0.9440441861 -0.436586881
## [334,] 1.392871180 -1.818817943 0.982450341 -1.0097886177 1.319980787
## [335,] 1.558711110 -0.382111499 -0.521409763 -1.8929124660 0.587896064
## [336,] 1.358820498 -0.545945989 -1.583989308 0.4267138366 -1.209471616
## [337,] -1.478176356 -0.616929828 0.060363292 0.1384875766 -0.891524413
## [338,] -0.560862141 -0.408870550 -1.897105946 0.9498247625 0.144589484
## [339,] 1.211323509 -1.119850406 -1.897823114 -0.0223389307 1.162433586
## [340,] 3.188982107 1.105228332 1.000570166 0.0007679735 -0.842271479
## [341,] 0.830613036 -1.263459430 -1.394502673 -1.3245321957 0.146065580
## [342,] 1.012927695 -0.590080592 -1.739806825 -1.0087809119 -0.232942309
## [343,] 2.020433744 -0.830024702 0.485250531 -0.6169646693 -1.334631364
## [344,] 2.407338547 -0.489757455 -1.979917073 -0.5188097185 -1.714147078
## [345,] 0.475127038 -1.091822277 0.175061155 -1.5952860434 -0.876547094
## [346,] -0.213785629 1.481297141 -0.415736130 0.0099163381 -0.524774464
## [347,] 1.558734780 -0.303984494 -1.232828715 -0.4576764899 1.794303841
## [348,] 4.227030922 -1.832555837 -1.310041659 -0.3330334531 -2.260706115
## [349,] 2.656334459 -0.604557584 2.530279940 -0.0367057694 -0.407716337
## [350,] 0.726024403 1.367212442 1.306451601 2.2402648580 -1.320656295
## [351,] 3.332928179 0.874275937 -0.510585761 0.3399928835 -2.038934419
## [352,] 2.627044602 -1.272799558 -1.203941524 -1.9604414989 -0.304264927
## [353,] 0.244983452 -0.934605240 -0.379501864 0.8160913161 0.413776054
## [354,] -1.188635994 2.057084690 0.932101492 1.0583907227 0.202784978
## [355,] 0.440089868 -2.159280045 -0.170489824 -1.2865705529 -0.040538327
## [356,] -2.380575687 0.419201239 1.131738939 0.9543133368 -1.017507257
## [357,] 2.481286327 -1.505938227 0.154523113 -1.1499600805 -0.671730892
## [358,] 0.590847610 1.481607533 -0.330456040 -0.3742661969 -2.410580886
## [359,] 0.859674835 0.224618937 0.723350292 0.1763710809 0.077060190
## [360,] 1.098708285 -0.706127765 -1.371610423 -0.2226073032 -0.121947205
## [361,] 0.304041016 0.149029540 -0.862073558 -1.1771298978 1.032792112
## [362,] 3.688052904 -1.228265340 0.766494002 0.4152925182 -0.656898289
## [363,] -1.093890375 0.841985018 -0.691385355 0.2802997225 0.704269853
## [364,] 1.162007947 2.689649882 0.399501888 -0.4276726951 -0.304687207
## [365,] 0.716305849 0.971723616 -1.246705978 0.2770922071 1.045908137
## [366,] 0.945557309 1.466964888 -0.499784306 -0.2881052136 -0.540326459
## [367,] 0.936810306 -0.684514330 -0.235109386 -0.3144352873 -1.036871060
## [368,] 0.756864170 -1.112961961 -1.648284296 -1.0845207097 0.485434329
## [369,] 1.187075542 2.668097591 0.489052606 -1.1730139425 -0.628933429
## [370,] -0.958304164 2.752712614 0.495701483 0.5697080804 0.163655330
## [371,] 0.338366666 0.027897223 -1.346380482 -0.6392921644 -0.629461351
## [372,] 0.436905369 0.034992092 -2.024434921 -0.8398901872 -0.453835346
## [373,] -1.600906161 0.439500356 -0.309497806 -0.1530583599 0.273120748
## [374,] -0.606678606 0.563762899 -0.695949729 -0.5870922848 0.042710090
## [375,] 1.522220793 0.493281237 1.575757643 -0.3221596865 0.898670752
## [376,] -0.616819649 2.090771144 -0.002750341 0.1634282876 -1.052879607
## [377,] 0.769372279 0.185398309 1.496890173 0.5312652762 2.164799768
## [378,] -2.022349370 -2.048334134 -0.647282107 0.2351810505 -0.864007269
## [379,] -0.332153197 -2.184156788 -1.556956308 -0.1086400088 -0.019133649
## [380,] 0.343466327 1.627814306 0.122741835 -1.1021161095 1.255753751
## [381,] 1.959969115 1.091149276 2.277542800 0.0993156207 0.288769651
## [382,] 1.096291828 0.709852675 1.593834506 1.4634066644 0.379694398
## [383,] 4.788824260 -2.333262072 0.261770086 0.8477663156 1.454304985
## [384,] 2.953241175 -2.121439076 -0.048298751 -1.6776988621 -0.295583119
## [385,] 3.953080801 0.629581988 -0.692826059 2.2779470993 -0.140338070
## [386,] 1.596020067 -1.408254495 -0.397428301 0.3803709652 0.623659964
## [387,] -0.507005542 -0.383314679 -1.171693175 0.1962431375 0.100157911
## [388,] 1.767976688 0.567885928 -0.798842893 -0.9987266776 1.927227401
## [389,] 0.037281413 1.333228592 -0.187101258 0.1533350331 0.996622262
## [390,] 0.842170869 -1.646721805 0.217442553 0.6300578900 0.660338087
## [391,] 0.843783436 -0.168018219 -1.345537209 -0.6969778068 1.664099633
## [392,] -1.934960875 -0.655726038 -0.236334786 0.1549388092 -0.779715764
## [393,] 3.069766792 1.309777123 1.029174181 1.3340146409 0.556567017
## [394,] -0.841372906 0.157761785 -0.470256792 0.4125445442 0.938588543
## [395,] -1.063573636 -0.644591049 -1.939569329 0.7850486027 0.738408862
## [396,] 0.049601141 1.167036501 -0.694321422 -0.4516498774 1.930135093
## [397,] -1.665456349 -0.584826567 -0.254078242 -0.2930498872 -0.840908819
## [398,] 4.322602450 0.166886465 1.222695814 2.7242358719 -2.617189037
## [399,] 1.398007661 1.378333503 -1.596237858 2.3364772965 -1.812826147
## [400,] 4.437649222 -0.715172615 2.322672413 0.0916621613 1.961233100
## [401,] -0.352878266 -0.053332793 -1.530184164 0.2519763169 -0.003789722
## [402,] 1.725305338 0.277819244 -1.963587571 1.1230063726 -1.497708718
## [403,] 1.092839134 -0.730026982 -2.009400660 -0.7412578824 0.053490599
## [404,] 0.394293776 -0.324842332 -1.227434010 -0.1590133079 0.065245168
## [405,] -1.893315001 0.302817887 0.585531405 -0.6345351052 -0.588600496
## [406,] 0.244260942 -0.696043389 -1.334559076 0.0117163162 0.077124435
## [407,] 0.262897634 -0.418087829 -1.817375556 -0.2277316974 0.412532867
## [408,] 1.370436207 2.004000370 2.828527245 0.6850675778 -1.894860722
## [409,] 2.106911367 -0.303486380 -1.800729820 0.2679496324 2.470940320
## [410,] -1.102330387 1.825938425 0.853051744 0.0897897746 0.550624146
## [411,] 0.436767359 0.197939844 -1.500376363 -0.3962817798 -0.748719710
## [412,] 0.343019654 -3.285459399 -0.777514563 -3.5747529463 -0.945401971
## [413,] 1.915190881 0.861268913 -0.885127958 -0.0738524494 -1.438051792
## [414,] 2.995598088 -1.413013541 -0.293167506 0.7759848475 0.748530703
## [415,] -0.908553129 0.516115029 1.427819246 0.1301188018 1.084103418
## [416,] 1.048686817 -0.921710601 1.508217286 -0.9148171595 0.411065938
## [417,] -1.182920861 -1.100238113 -0.845196570 0.4513984700 -0.056293673
## [418,] 0.732075729 -0.997386463 0.882639785 0.3266155714 0.166493471
## [419,] 0.896131733 2.221707870 -0.481093944 0.5771974081 1.251669129
## [420,] -0.016016455 0.229038019 -1.089130329 -1.1839138723 -1.288154789
## [421,] 1.985146731 -3.729851863 -0.253117659 0.6158646740 0.981599085
## [422,] 1.342184972 -1.668292784 -0.591287663 -0.9597336514 0.023963688
## [423,] 0.582869712 0.418757300 -1.049446695 0.4239897292 1.363661153
## [424,] 1.003746316 0.780749820 1.710634104 -1.1595026219 -1.645726037
## [425,] -0.170756689 1.691970101 -0.875365013 1.0116387732 0.331153693
## [426,] 0.003398704 1.701593215 1.212299410 -1.6990415811 -0.364411873
## [427,] -0.806248037 1.560178360 -0.259360815 -1.6125579143 -1.206386671
## [428,] 0.172106286 1.031908693 0.449529448 -2.7843021782 0.857899420
## [429,] -2.053476354 -1.086158635 0.169746310 -0.4682199706 -0.859306700
## [430,] -0.353274366 1.005053560 -0.099172790 -1.2810416473 -1.064037333
## [431,] -1.778921791 1.134956140 0.497739412 -0.2208653900 0.855793081
## [432,] 0.617449086 1.238819685 0.234010417 -2.3231879285 0.381322923
## [433,] 1.530034315 -0.880130910 -1.165285581 0.8824819929 0.741015766
## [434,] 3.178031465 1.327516037 0.703053352 -0.4508637112 -1.264028643
## [435,] 0.921401559 -0.062030640 -0.328461798 -2.0227796360 -1.665557598
## [436,] 0.645929806 -0.914372688 1.199267301 0.1029754553 -1.877362792
## [437,] -1.513291067 -0.355212540 -0.780134825 0.1040292921 -0.305390584
## [438,] 0.132122691 0.968554332 0.447934022 -1.1222260615 1.066793671
## [439,] 2.530822040 -1.328210092 2.453807714 1.4497896259 -0.719777583
## [440,] 0.562399002 -0.771907755 -1.636043491 -0.4974467350 0.435726024
## [441,] -1.123704946 0.914167912 -0.907350383 -0.7428138298 0.456574126
## [442,] 2.899339955 1.881053308 1.647439940 0.1868405321 -0.240266431
## [443,] 1.447296233 0.330944745 -0.643520028 -1.7617527688 0.200099994
## [444,] 1.327063713 3.277391288 0.226312339 0.6305047930 -2.051998103
## [445,] 2.165907466 1.471900731 -1.152179873 0.8332512985 -3.232748620
## [446,] 1.044641541 -0.377937506 -1.133829343 0.0870661914 2.106583484
## [447,] 1.202873706 1.369949600 -0.924422395 0.4426866404 -1.512590931
## [448,] 1.490951035 -0.713930296 -0.229577109 0.1131247335 -0.120979459
## [449,] -0.108700619 1.153946123 -0.854321204 2.1021474792 -2.731210916
## [450,] 1.683964972 -0.790327268 -1.018476004 0.6174797579 1.381411502
## [451,] 1.931366277 -1.603163544 -0.194502178 0.4727238386 -0.372779576
## [452,] -1.473569098 -0.574590854 0.568281023 -1.4621299079 -0.394542593
## [453,] 1.364876540 -1.051197480 -1.313240037 -0.6750350200 0.361159982
## [454,] -0.565196904 0.195531217 0.059636248 -0.5501112574 0.687421400
## [455,] 3.459769850 1.540421738 -0.459525432 1.8118430737 -1.291603261
## [456,] -0.059530828 1.410558792 0.112923574 0.3642406234 1.613344373
## [457,] 3.684124970 0.464497623 -1.418638368 2.3096513296 -2.025080103
## [458,] 0.477071264 0.259333050 -0.305277326 -0.0280787157 0.864942351
## [459,] 0.867484119 0.725284009 0.270935732 -1.5659574126 -1.223191126
## [460,] 2.690776727 -1.740553145 1.266296499 0.6130126752 2.096372206
## [461,] 1.651209677 2.187579030 0.232289043 -0.7326918256 0.119217751
## [462,] -0.418698730 -1.058785873 -0.393032386 -1.1235719545 1.611701713
## [463,] 2.515538347 2.389344930 1.410061259 -0.4066371001 -0.543073043
## [464,] 2.432114603 -0.914542482 0.735798241 -2.1133464616 -1.539036638
## [465,] 0.415237535 0.090824792 -1.273294668 0.3443790249 1.664137835
## [466,] 1.793212788 -0.795405753 -1.133471047 1.6752513367 -1.166238827
## [467,] 0.328231726 0.457981356 -0.276875308 -0.6812398001 0.567589940
## [468,] 1.331171631 -0.531351049 -1.150398712 -0.8329382166 1.655556049
## [469,] 2.697729195 -1.480153820 -1.199178400 -1.5980817521 0.373390658
## [470,] 0.523474164 -0.771320855 -1.904139818 0.1347213290 -0.016220399
## [471,] -0.214088712 2.025456501 0.821672818 -0.2662549567 0.312873989
## [472,] -0.450705924 -0.850755818 -0.949864966 -0.6693009064 -0.147526594
## [473,] 0.096310378 1.512768053 0.367931078 -1.1259075609 -1.775342818
## [474,] 0.803328451 -0.746689199 -0.569667428 -1.3011508030 -0.782782431
## [475,] 0.892743466 -0.438305982 -0.047196957 -1.4950940245 -0.046492162
## [476,] 0.356060813 0.492043653 -0.692537974 -1.3639765858 0.441310129
## [477,] 1.045887851 0.916963816 -1.063866425 0.4360234775 0.968385204
## [478,] 1.635114048 -0.769897410 -0.032617289 -1.3337104375 1.172894152
## [479,] 3.384171406 -3.748637982 2.117821826 0.4816992405 1.331831889
## [480,] -1.291011741 -0.113779752 -1.823243054 1.0629823077 0.027644080
## [481,] 3.533787560 0.724417347 -0.959931323 -0.2528729747 0.724664191
## [482,] 2.879625120 -0.654049208 -1.121197954 1.0800265997 -1.452424120
## [483,] -0.850903456 1.623654034 0.569517802 -0.9830378604 0.607818682
## [484,] -1.318214773 1.976303610 0.201731755 -0.2684015238 0.790390412
## [485,] 0.361009385 1.032882869 0.362646310 -0.8526734757 -1.222651324
## [486,] 2.419910959 -0.467962508 1.361856102 -1.6957131333 -0.239946023
## [487,] 0.848012547 1.207791455 0.136793317 -0.8840868077 -1.140291698
## [488,] 1.928009671 -0.712802251 -0.191821919 -2.1249145430 -1.303625077
## [489,] -0.563124316 0.759359402 0.919304979 -0.2326071543 -1.847350616
## [490,] 2.466669285 0.285668989 2.023340128 -2.3178875429 -0.081514443
## [491,] 1.689760534 -0.628515953 -0.764243010 0.8730984386 -1.825410930
## [492,] 1.383002288 -1.564340592 -0.707637680 -0.6349852108 0.570465104
## [493,] 2.310823507 2.213590654 -0.443856900 2.3661973991 -1.968676178
## [494,] -1.017633122 -0.695649989 -1.620639147 0.6159374994 0.445560536
## [495,] 0.534075967 2.353280633 0.166100274 -0.8657380323 -0.073079626
## [496,] 1.802404767 0.654498938 0.111833817 -2.6905861996 1.041598372
## [497,] -1.519954938 -0.766225511 0.756402636 -0.6577659353 0.338747875
## [498,] 1.835909217 0.435831380 -0.363222262 -0.4702983539 2.853131913
## [499,] 3.899033820 -0.105524086 -0.423141495 -0.5554354590 -1.196637653
## PC6 PC7 PC8 PC9 PC10
## [1,] -0.699052021 1.205930605 -0.0112821754 -0.951136304 0.06884376
## [2,] 1.082562585 0.297104939 0.6541236384 1.460367449 -1.97080227
## [3,] -0.273591462 0.706550772 0.5522400135 -1.108877105 0.39950143
## [4,] -0.091488613 0.204189735 -0.1390066316 -0.553897184 -1.06358860
## [5,] -0.007442173 0.174931051 -0.0237622262 0.877005786 -0.34335305
## [6,] 3.244907401 -0.956404400 0.8394687744 -1.120187755 -0.32854440
## [7,] -1.550747818 -4.296760367 0.1147087503 0.076308038 0.11264444
## [8,] 0.666348146 -0.343728103 1.6297411962 1.731932503 0.91501294
## [9,] -0.215335983 0.994814738 -0.5639298659 0.873987844 0.30262761
## [10,] 0.608329214 -0.238916354 1.9414432948 1.427041982 0.87908444
## [11,] 0.065805170 -0.336648210 -0.4890413812 -0.855734412 0.40248378
## [12,] 0.427104111 0.796995802 0.4298004120 0.055732905 0.81961391
## [13,] -0.044086746 0.558356617 -0.3732863063 -0.776472862 -0.05733289
## [14,] 0.045098985 -0.228437811 -0.9781711635 0.501169299 1.05301116
## [15,] 0.073182344 -0.369727664 -0.0365622457 0.934173150 0.04313794
## [16,] -0.245709946 -0.140319533 1.1591227162 0.374507056 -0.30153308
## [17,] -0.398797991 0.456883852 -0.0858875841 0.083961779 0.38131272
## [18,] 0.512602171 0.170704594 -0.0004955918 0.382520522 -0.01634302
## [19,] -0.429100961 0.929421523 0.4311767789 -0.262220124 -0.18283428
## [20,] 2.934298370 -1.140215819 1.8245005868 -2.118076190 -0.79384875
## [21,] -0.193753824 0.885351512 0.1195846944 0.061072293 0.06754989
## [22,] -0.895024244 0.381810079 0.5727846693 -0.679855018 -0.66328922
## [23,] -2.332978115 -3.158205607 -0.2097473786 -0.050156122 -0.15708257
## [24,] -0.248521806 0.019556817 0.0220025225 0.172054144 0.88183175
## [25,] -1.221930984 0.456989018 0.8083529279 -0.422045123 0.83528632
## [26,] 0.140292221 0.486681874 0.2754509861 -0.204752557 0.95304256
## [27,] -0.378650307 0.339508132 1.2955598553 -0.313935066 -1.85433762
## [28,] -0.710987617 0.138867438 0.8465962503 -0.021305526 -0.09182902
## [29,] -0.232745626 0.528906392 -0.8394357690 0.706465171 0.70851161
## [30,] 0.102810244 0.103883085 -0.8853212496 1.421099551 -0.05023004
## [31,] -0.367959544 0.779177212 -1.0893717634 0.004956317 -1.17931716
## [32,] 0.316237226 0.135287421 -0.0233081338 1.484937863 0.07933644
## [33,] 0.195064195 0.285065150 1.1065987573 0.192843403 1.41957724
## [34,] -0.262124642 0.589675732 1.9197772901 1.012744676 0.59398886
## [35,] 0.854338132 -0.303084250 -0.9429483833 -0.790164455 0.92326005
## [36,] -0.163802839 0.609802385 -0.2978892856 -0.535930757 0.36602658
## [37,] 0.474834266 0.893881407 1.4492960692 0.496353661 0.70035301
## [38,] 0.597975512 0.183755412 -0.4719943581 1.076315718 0.27870682
## [39,] 0.628780277 0.061877295 0.0614908993 0.983530968 0.47137835
## [40,] 0.455987337 -0.069377375 0.4566972984 0.145628520 0.15302947
## [41,] -2.401157431 -3.405450039 -0.2641392637 0.151975123 0.18202014
## [42,] 0.124897284 0.736181286 0.2148846221 -0.237101343 0.60965752
## [43,] 1.003456909 -0.260883392 -0.8876550983 1.932669232 0.30232297
## [44,] 0.572397309 -0.462048509 -0.8924644942 0.897160414 0.37094486
## [45,] -0.664944681 0.646712327 -0.6835020240 -0.771133473 -0.80939690
## [46,] -0.025000137 0.656027364 1.7755469741 1.599833587 -0.37632343
## [47,] 0.220362772 0.249164759 0.5277998722 0.886763600 -0.28029578
## [48,] -0.231503331 0.442300608 0.0874378558 0.013051333 0.44469128
## [49,] 0.294917365 0.600615469 0.3904403120 0.472420116 1.18055118
## [50,] -0.490123612 0.423647696 0.3106337588 -1.648997113 -0.50053903
## [51,] -0.945079803 -0.010679160 -0.2680787381 -0.920346342 -0.22943167
## [52,] -0.331716718 0.826981843 0.3155416197 0.106580273 0.02221850
## [53,] 0.724121906 -0.321829523 -1.4179277915 -0.606651298 0.94510976
## [54,] -0.205244417 0.924439103 -0.5422654654 0.525508203 0.21745043
## [55,] -0.316470297 0.899313855 0.0375093262 -0.412598954 -0.15848762
## [56,] 0.337817971 0.658747909 1.4698551378 -0.105944120 0.54805769
## [57,] 0.005083927 1.016052971 -0.0275815412 1.601268123 0.43762819
## [58,] -0.126085535 -0.339387997 0.0572755296 -0.018378090 -0.78099884
## [59,] -1.750021903 -3.566455373 -0.4222275966 0.981420346 -0.63309884
## [60,] -0.448278433 0.487577680 0.7825541849 -0.231934682 -0.40171128
## [61,] -0.476289763 1.126904100 0.5685807044 -0.266531683 -0.38169677
## [62,] -0.847045338 -0.377213554 0.7365870213 -0.072107592 0.33278925
## [63,] 0.103567603 0.248548055 -0.5802496377 -1.038060566 -0.19541383
## [64,] 0.070147818 1.004103003 -0.4020743037 -0.878324091 0.23016305
## [65,] 0.346264540 0.859003406 0.0648260109 0.403369456 0.93547567
## [66,] 0.183014510 0.747342981 -0.2190694962 1.853006634 -0.78820813
## [67,] 0.548760306 -0.243250039 -0.9531461489 0.477545411 -0.07258834
## [68,] 0.895810117 0.100445927 -1.6259748346 -0.588899037 0.63173115
## [69,] -0.716112116 0.288303944 -0.7067651418 -0.433686160 -0.15042372
## [70,] -0.036679415 0.783144781 -1.4017395018 1.276902148 0.65504750
## [71,] 0.156454001 0.927351018 0.4100405808 0.084712269 0.83222838
## [72,] 0.320961935 0.711165382 1.0878181477 1.429398874 -0.69047327
## [73,] -0.416457514 0.614165612 1.3736448800 -0.762154159 -0.62207341
## [74,] 0.318772435 0.288581097 0.5863189890 -0.115074344 1.15157060
## [75,] -0.688708718 -0.080449413 0.6460576606 -0.327039536 0.56588720
## [76,] -0.266916061 -0.454186096 -0.6500777211 0.305421931 -0.78894545
## [77,] 0.168956917 0.371426277 0.2721816920 0.872021022 -0.35477613
## [78,] 0.209116118 0.283155150 -0.3388759265 0.243004235 1.23714713
## [79,] -0.203520518 0.330600794 0.5874042102 1.412074637 -0.02385898
## [80,] -0.325805652 -0.372964842 -0.8389247736 0.185035389 -0.91283655
## [81,] -0.273277212 0.907003386 0.5312185335 -0.259292331 -0.10023836
## [82,] -0.220348544 0.476557908 0.8851006124 1.409445784 -0.07484816
## [83,] -1.325932301 0.404615706 -0.5178500728 -0.067801966 0.30872474
## [84,] -0.583804461 0.164459485 0.8949131846 -0.595342996 0.36027315
## [85,] 0.438579931 -0.007219941 -1.3755283360 0.300790860 -0.47270748
## [86,] -0.107924000 1.096742542 0.0007540630 0.552898942 0.20450515
## [87,] -0.146857943 0.900442801 -0.6904458628 0.758221046 0.34209482
## [88,] 1.066095519 0.701588698 -0.6834773050 1.414757131 -0.42172504
## [89,] 1.926358944 -0.352094606 1.0505612383 -2.612703283 -1.85133871
## [90,] 3.727106767 -1.410372949 1.5989389453 -1.003682439 -1.30376320
## [91,] -0.386739652 -0.515628703 -0.4418871335 0.272410240 -0.67781039
## [92,] 0.181161794 0.480639652 0.6739629948 -0.194270467 0.94643404
## [93,] 0.097317681 0.089266803 0.4417247331 -0.557434031 1.04453794
## [94,] 0.267703318 0.582140103 -0.0980122989 -0.095204368 0.81585352
## [95,] -0.081248149 0.481371290 0.5756332163 0.154925005 0.16470085
## [96,] -0.530488389 0.497909090 0.3776192858 -0.679738560 -0.12941668
## [97,] -0.484205844 0.198175335 0.8352484261 -0.188129617 0.62556655
## [98,] -0.366943750 0.712912723 -0.6917573039 -0.004449726 0.09029062
## [99,] -0.543150830 0.487136883 -0.1126456535 0.007195749 0.27949943
## [100,] 1.265292782 -5.667718708 -1.4860087526 -0.168482230 0.29028467
## [101,] -1.155752117 0.994066220 0.9504186390 -1.409958151 -1.13782559
## [102,] 0.293951946 1.434500614 -0.4902407955 -0.727185778 0.88588926
## [103,] 0.473123765 0.676651610 -0.0948219799 0.365913953 1.02744572
## [104,] 0.120482473 0.309318311 -0.2642106223 -0.566050182 0.87954715
## [105,] 0.282923159 0.208901263 -0.3171749490 0.661665429 1.62247885
## [106,] -1.397658047 0.320590832 1.6781782514 -0.958403593 -0.12440780
## [107,] -0.011091258 -0.227324918 0.8324080280 0.361657092 -0.15752137
## [108,] 0.440461148 0.461753353 -0.0126865674 0.915454744 0.04157233
## [109,] 0.404366011 0.221388577 0.8437678126 0.144800577 -0.92619440
## [110,] 0.052036591 -0.075430151 1.0890063344 1.191940516 1.11213757
## [111,] -0.125516910 0.152373343 0.1996052064 0.534582056 -0.51181653
## [112,] 0.854947180 -0.310389296 1.8276489000 1.408901491 0.85119283
## [113,] -0.368602280 -0.273506261 -1.2376118146 0.512655799 -0.86768780
## [114,] -0.394659972 0.055363247 -0.5101268171 -0.183205618 -1.47765878
## [115,] -1.333410806 0.991763475 1.1553908560 -0.430207372 0.31188510
## [116,] 0.383357368 0.714768848 0.4667869206 -0.029027052 0.81787922
## [117,] -0.019293450 0.030593244 0.8404022482 0.809024234 -0.02946938
## [118,] 0.629103798 -0.293507026 1.1387468848 0.962283856 0.08585850
## [119,] 0.220619460 0.771625682 1.4078144052 -0.061400145 0.44630732
## [120,] 0.586813590 -0.023255880 0.9616176689 2.051815759 0.40104782
## [121,] 0.430676950 0.301759660 0.4068413484 0.398363802 0.35069671
## [122,] 3.955003607 -0.247527927 -1.2830905199 -1.349016689 -0.17391154
## [123,] -0.349278469 0.700472604 0.1453409104 0.117234501 0.43275883
## [124,] -2.674345806 -3.261019788 -0.2872882543 -0.101535632 0.16693415
## [125,] 0.453440084 0.798767765 0.0699853621 0.578316236 1.03043201
## [126,] 0.492992378 0.339070803 0.0140463658 0.620335467 -0.03318642
## [127,] 0.046242539 -0.396841292 -1.0938301533 -1.381265696 1.47955313
## [128,] -0.544582436 0.875524934 0.8240106581 -0.385183675 -0.98860911
## [129,] -0.458211639 0.779561150 0.2280780918 -0.571257892 -0.22827405
## [130,] 0.331753193 0.287294800 0.3461139690 0.260639689 -0.15182601
## [131,] -0.905027908 0.266047371 -0.5038533474 -0.443934252 -0.68788214
## [132,] 0.196281790 0.890730514 -0.1089235743 0.247239989 0.74138501
## [133,] 0.249386422 0.138488558 -0.0306218114 -0.496179621 -0.88206016
## [134,] 0.151894078 -0.684170894 -0.4332166982 0.185664451 0.05201403
## [135,] -0.360622921 0.835049586 0.3046607819 -0.377986922 -0.14336708
## [136,] 0.186482858 0.505957936 -0.2637388200 0.777921729 -1.65239663
## [137,] -0.071674935 0.125634825 0.3131744053 0.643093070 -0.42864423
## [138,] 0.243777256 -0.713497468 0.9120972433 0.338991207 0.80482042
## [139,] 0.656286279 0.033366814 0.5348751480 0.569458650 0.34373254
## [140,] 3.401966508 -1.296914241 0.1317496681 -1.728420407 -2.03101917
## [141,] -0.446036883 0.944688192 -0.1359479060 -1.659729200 1.66066118
## [142,] 0.221674404 -0.219965771 -0.7780016816 0.334412594 -0.28061790
## [143,] 3.665052942 -2.219994186 0.5680045868 -1.619133174 -0.97985105
## [144,] 0.079296724 -0.279771802 2.4532274658 0.419557401 0.31653974
## [145,] -0.354668655 0.691200965 0.3800594265 -0.058659473 0.24478250
## [146,] 3.193879467 -0.676548122 0.3274859166 -1.167355872 -0.84617949
## [147,] -0.377022602 0.546938193 -0.1382769120 -1.293036249 -0.39262403
## [148,] -0.209426819 -0.158810887 -0.3878942574 0.215124389 -0.97105317
## [149,] 0.951500791 -0.670737394 -0.9335048718 -0.474440722 1.44697926
## [150,] -1.544522634 -3.153324017 -0.0694851449 0.719706086 0.91227088
## [151,] 0.372652933 0.245673567 -0.3938316669 -1.486423617 0.20714136
## [152,] 0.067028133 0.478203293 0.6405785470 -0.673249474 1.66035028
## [153,] -0.641566719 0.725464058 -0.4086299332 -1.119976513 -0.85108696
## [154,] -0.319650883 0.769188130 -0.2952394637 -0.079681402 0.02374593
## [155,] -0.247327274 -0.167745313 -0.5396639828 0.131564306 -1.01214105
## [156,] -0.021971903 1.690731401 -1.6614836500 -0.022722835 -0.21467605
## [157,] -0.260204579 -0.035873869 0.9849588667 0.358094922 -1.23266065
## [158,] 0.057580013 -0.122179288 -0.0300118570 -0.318192183 -0.65691319
## [159,] 0.313353528 0.230545642 0.1286922314 0.087913371 1.12283373
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## [169,] 4.539948498 -2.213387659 1.7496211033 -1.495626108 2.58210688
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## [192,] 1.184978055 0.497508667 -0.8796058549 1.054275064 0.27824527
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## [195,] 2.858488189 -0.602247736 0.4226836705 -1.414364471 -0.99024445
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## [197,] -1.869828833 -4.363941682 -1.0278131055 -0.451390261 0.62295477
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## [200,] -0.913139601 0.773718358 -1.4700206969 1.702256217 1.20539577
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## [202,] 0.912105531 0.188092699 1.1119029257 1.515112077 1.84583866
## [203,] -0.439256986 -0.991878943 0.5262571601 -0.364986601 -0.51460253
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## [214,] 1.075659965 -0.217744609 0.1321912697 -0.233433656 0.79586607
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## [218,] 0.204666065 0.902086577 0.3766182640 0.113859846 0.82312330
## [219,] -0.531156624 0.878851089 0.5949696075 -0.182049564 -0.16242824
## [220,] 3.130652866 -1.262397601 1.7737314709 -0.975098031 -0.42059827
## [221,] 0.810137661 -0.047954306 -0.0631396152 1.147487048 0.67824959
## [222,] -0.856077990 -0.439962863 -0.1512332878 -0.222014770 0.50753929
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## [224,] -0.096700820 0.609395393 -0.2635967585 -1.033398493 -0.20150079
## [225,] 0.085216388 0.120160668 -0.3481496526 1.050172575 1.30366569
## [226,] -0.003395501 0.624354859 0.2957210304 0.868921188 0.76165942
## [227,] 0.746465884 -0.176754988 0.0656346244 -1.191349246 2.64938169
## [228,] 0.322702698 -0.539943351 1.1535415169 0.099110041 0.50674267
## [229,] 0.094902965 -0.590296712 0.2262581515 -0.535235358 -0.30396851
## [230,] 0.199055953 1.223182561 -1.0813922357 0.438443318 0.42177320
## [231,] 4.741518369 -1.329556476 0.2164432601 -1.094678608 -1.31479007
## [232,] 0.035999529 -0.380375928 -0.9438550919 -1.455842076 1.43777487
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## [234,] -0.116250736 -0.071033155 -0.1258509748 1.221071541 1.53859297
## [235,] -2.551373534 -3.441135380 -1.8359016067 -0.207849832 -0.56042107
## [236,] 0.057068871 0.554868749 0.0069710899 0.937640417 -0.65721474
## [237,] -0.006994045 0.353861265 0.2841681186 0.397352130 0.89172979
## [238,] -0.124362402 0.618450296 0.2818669888 0.748271675 -0.84425630
## [239,] -0.330681364 1.126596143 -0.7934911491 -1.080018451 -0.91601475
## [240,] 0.623265762 0.856277351 -2.9903478816 -0.563133642 -0.11425571
## [241,] -0.380306602 0.957165741 0.4694681240 -0.165584639 -0.14038080
## [242,] 0.012643852 0.016050422 1.2382385500 -0.079476189 0.60191834
## [243,] -1.187751169 -3.953796035 -0.3528755066 1.314289560 0.54025879
## [244,] 0.218014125 0.524217929 0.0320253139 0.977856399 -0.55372969
## [245,] 0.231541134 0.097525017 -0.7256947835 -0.075018832 -0.76419467
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## [247,] -0.003686698 -0.141878604 0.3938808642 -0.748466455 0.67541817
## [248,] 0.483122972 0.543119358 -1.1084752971 -1.610062396 1.19557112
## [249,] 0.060352871 0.144641200 -0.6007739460 -0.189811194 -0.90945798
## [250,] -0.203404511 1.022564646 -0.5926890653 -0.703254772 -0.01983942
## [251,] 0.080533135 0.349304253 0.6606895993 -0.216592545 -0.53626581
## [252,] -0.742881236 0.082246213 1.1530941106 -0.380010483 -0.32028092
## [253,] 0.554230616 -0.017203620 0.6986679766 0.649629210 0.36413859
## [254,] -0.704946094 -0.048574423 -0.3529686751 -1.108532844 -0.39831365
## [255,] 1.750635266 0.229575505 -0.8538124732 1.869605759 -0.17586407
## [256,] 0.848030601 -1.147790044 1.1277635318 -0.244346019 1.81181993
## [257,] -0.610366335 0.632810366 0.7062332737 -0.094850654 -1.21768105
## [258,] 0.346198628 -0.061102902 -1.1568221763 2.161911812 -1.64900600
## [259,] -0.176665712 -0.906132622 1.5341108556 0.249773812 -0.46703576
## [260,] -0.818267969 -0.110372358 0.9974356761 -0.529666082 -0.15639951
## [261,] -0.929775212 -0.269852414 1.2165521864 0.292312616 -0.45641795
## [262,] -1.171640537 0.120456906 1.8053595197 0.093278623 -0.86707528
## [263,] -0.808824500 -0.184279810 -0.0540873071 -0.744362908 -0.07847939
## [264,] -0.389734177 -0.921199352 0.5796711088 0.067791265 -0.36577658
## [265,] 1.846341384 -0.106861540 -0.4561713834 2.016677243 -0.15570991
## [266,] 0.638732626 0.730688763 -1.2808285632 -1.357004501 1.29116829
## [267,] -0.034195907 0.164999727 -0.7406659309 -0.554031057 0.40342793
## [268,] 0.340345399 -0.902886347 -0.3753788087 -0.430822294 3.04814229
## [269,] -1.325627662 1.155763880 -0.1629627456 -0.178350487 -0.57814804
## [270,] 0.639477014 -0.291944967 -0.9313064216 -0.964304113 0.75643238
## [271,] -1.895165390 -4.283800689 -0.5589619752 -0.228176328 -0.65378529
## [272,] 0.556851408 0.862113680 -1.2610287759 1.709141135 -1.59863598
## [273,] -0.267432277 -0.140429909 0.9465039928 -0.450651456 1.11632314
## [274,] 2.879348864 -1.071708009 0.1643912987 -0.563374756 -0.28685966
## [275,] -0.126384839 0.431920082 -0.5245662042 -0.883291924 -0.05974280
## [276,] 0.293155651 -0.592705559 -0.2433551322 0.438282716 0.15848536
## [277,] -0.596095153 1.154401296 1.2579689707 0.555246079 -0.04575167
## [278,] -0.027564828 -0.561686365 0.5397357185 -0.578804897 -0.38694865
## [279,] -0.382089055 0.560777759 0.4751977021 -0.083458286 -0.61878459
## [280,] -1.743586919 -4.162550664 -0.6693408550 0.124430979 -0.52536538
## [281,] 2.563640517 -1.262240977 1.3335664629 -1.798913026 -1.38261558
## [282,] -0.773424134 0.045797514 -0.2264526781 -0.992766046 -0.43778086
## [283,] -1.599929348 0.851622909 -0.2481946216 -0.746839528 -0.32915879
## [284,] -0.211069876 0.040037477 -0.7271278369 0.987949851 -1.19935104
## [285,] -1.013502075 1.088872193 -0.8243345488 -1.184811266 -0.93697664
## [286,] 0.339173564 -0.753088783 0.4974798584 0.813295648 1.10666429
## [287,] -0.576681093 0.246768860 0.0990151568 0.293318232 -0.03274139
## [288,] -0.684328770 0.356878937 0.4659794456 -0.172417883 -0.38391057
## [289,] 0.200312158 -0.322470524 -0.1926433936 -0.201707870 -0.43088751
## [290,] -0.804363528 0.600436741 0.7091704078 -1.316249524 0.99827626
## [291,] -0.400796849 0.101001009 0.0089300486 -0.368514936 -0.58698926
## [292,] -0.233676036 0.537382157 -1.9100912583 -1.357472343 0.52241220
## [293,] -0.999418386 0.536899471 -0.7743047166 -0.695933670 -0.80154900
## [294,] 0.981790155 0.241834831 -0.5121212399 1.103705117 -0.48298547
## [295,] -0.948349271 0.106569331 -0.8155649853 0.546758732 0.20145492
## [296,] -0.396071544 0.016249166 -0.7202516285 0.135823317 -1.12294426
## [297,] 0.574238659 -0.572096961 0.6774338028 2.250239638 -1.51197628
## [298,] -0.762378787 0.118517578 -0.5115705203 -0.556634623 -0.30945981
## [299,] -0.435742335 0.709645434 0.4422473660 0.064982015 -0.57579290
## [300,] 0.033869120 0.050369129 0.0595718727 -0.763219848 -1.08061672
## [301,] -0.818967053 0.302043764 0.2362581850 -0.996770428 0.74330142
## [302,] 0.970018711 -0.009463738 0.9431189209 1.531688301 0.62002025
## [303,] 0.305625585 0.463391699 0.1115569529 -0.194907496 -0.36232646
## [304,] -0.664610354 0.259115010 1.2291503962 -0.930621369 -0.74456081
## [305,] 0.043322071 0.198129993 0.1782886059 1.161539833 -0.12166435
## [306,] 0.353393374 -0.410994545 2.2325575368 0.762690927 0.58458325
## [307,] -0.181010890 0.739709380 1.8444146828 -1.163022305 -0.61661591
## [308,] 1.631073540 0.009806083 -1.4916834169 1.131053754 0.01044259
## [309,] -0.643395886 0.269119655 0.9443228770 -0.445326228 -0.55463184
## [310,] -1.180670923 0.958123882 -1.2786144615 -0.844444365 -0.79070206
## [311,] -0.666606849 0.522082186 0.7609234086 -0.688789797 -0.56294077
## [312,] 0.432322181 -0.094828003 0.9646047174 0.240148727 -0.54831486
## [313,] 0.021698595 0.436132391 1.0103296301 0.909887067 -0.86542834
## [314,] 0.027950847 0.064029310 -0.1693424642 0.751183866 -1.07518649
## [315,] -1.057443906 -0.553667312 0.5010597885 -0.801049477 0.29905596
## [316,] -0.142427733 0.541309986 -0.2063495405 0.875365329 -0.76137503
## [317,] -0.290765073 0.008045600 -1.1606034754 -0.559757458 2.01119522
## [318,] 0.103355198 -0.152592411 0.6263492948 0.035882407 0.68444548
## [319,] -0.142626179 0.009978888 -1.5623350965 -1.424379073 1.16027686
## [320,] 1.092157869 -0.281252165 0.8878055516 1.581158607 -1.43072275
## [321,] 0.104360971 0.772864372 0.6167501621 0.724921654 -1.96685585
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## [323,] -0.845683318 -0.192093638 0.8964234725 1.108307786 -0.23538207
## [324,] 0.101427718 0.164626299 -0.8173803094 -0.802113750 1.35644963
## [325,] 0.017743498 -1.130499900 2.1251023471 0.036568663 0.42362292
## [326,] -0.241463145 -0.079170249 0.4557060243 1.114891077 1.05347610
## [327,] -0.538263128 0.087572293 1.2914272103 -0.280447205 -0.19523151
## [328,] 1.417483490 -1.278863961 -1.1008781031 2.200312284 0.06856679
## [329,] 0.124219559 0.048772525 0.0334548443 0.665175197 0.76298121
## [330,] 0.381871372 -0.090280409 2.1607560441 1.057284107 0.52182099
## [331,] 0.489978921 0.065959096 -1.0721331338 -0.176339435 1.29995070
## [332,] 0.459675049 -0.182565507 -0.8859126804 0.384322429 0.99691548
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## [335,] -0.482642206 -0.427298980 -0.7257562206 -0.228842158 1.11378568
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## [337,] -0.790134498 1.020533090 -0.0266661063 -0.149868470 -0.07368091
## [338,] -0.734525826 0.443018275 0.5549395586 -0.493984779 -0.10843427
## [339,] -0.852447894 -0.779723991 0.1931712182 -0.435307543 0.85498715
## [340,] 0.494576003 -0.069841160 0.8477280409 1.848574410 -0.72050650
## [341,] -0.690097049 -0.046304704 -1.2457425778 0.250717094 0.12901978
## [342,] -0.520699591 -0.185946952 0.7290941193 0.031425793 0.09336269
## [343,] -1.488168414 0.812132094 1.4737270321 -0.539141712 -0.43432264
## [344,] 0.434544607 -0.177226683 -0.3569197814 2.304732984 -0.42737553
## [345,] 2.924880643 -1.179972642 0.5779573075 -1.024058348 -2.71305440
## [346,] 0.521481232 0.342509491 -1.3175596072 -1.401830508 1.44928660
## [347,] -0.478797320 -0.635902341 -0.6947309945 0.369286168 -0.59206868
## [348,] 4.191668900 -1.758839680 -1.4157765736 -0.037423331 0.30209184
## [349,] -0.877130149 1.150517877 1.0520163248 -1.554551114 -0.10571081
## [350,] -1.057794001 -4.381132383 -0.4124466217 1.628375250 -0.99676211
## [351,] 1.361627169 -0.099129724 -0.2628123894 1.406914932 1.72062305
## [352,] -0.781782558 -0.124393327 0.0493444746 0.432678639 0.24670970
## [353,] -0.701691963 0.767645419 -0.9650165545 -1.253780651 -0.84054213
## [354,] 0.908921860 0.405819076 -0.2073563526 -0.341338543 1.24664862
## [355,] 3.361319687 -1.505430296 0.7474926006 -0.050540767 -1.31311141
## [356,] -2.041985720 -3.643735253 -0.7871184479 0.763162478 -0.80127697
## [357,] -1.215518006 0.346867143 0.8298384816 -0.042294798 0.29968940
## [358,] 0.824030835 0.380824437 0.2776521272 1.257998484 -0.62173381
## [359,] -1.023194931 0.526969649 0.5925519129 -1.708463577 0.18708936
## [360,] -0.622531741 -0.216499303 1.5757666207 -0.154092214 0.14144615
## [361,] -0.358433159 -0.336221679 -1.2373214916 0.561819517 -0.80607987
## [362,] 0.286952937 0.040366423 0.5476656205 3.353424861 -0.08405959
## [363,] -0.366277742 0.162288247 -0.3221507337 -0.210310231 -1.53859148
## [364,] 0.754140748 -0.043924780 0.4644317256 -0.528728865 0.57691402
## [365,] 0.458886715 -0.622539394 -1.4667976991 -0.077513885 0.92498666
## [366,] 0.127686804 0.266958072 -1.1696535634 -1.508519269 1.50203129
## [367,] -0.975875689 0.608463333 1.3980889408 -0.354895285 -0.44090395
## [368,] -0.691514569 -0.331583096 -0.9766159255 0.025548793 0.43574884
## [369,] 0.777325736 0.143714926 -0.2560151018 -0.276607777 0.42775542
## [370,] 0.839473565 0.191005429 -0.8011119969 -0.999069126 0.40195075
## [371,] -0.635777957 0.078333911 1.0645791357 -0.448305514 -0.29996816
## [372,] -0.544336595 0.032851519 0.6684124646 -0.388189210 -0.35017052
## [373,] 0.024183537 0.036980837 0.4916594578 -0.410887878 1.19627789
## [374,] 0.003485487 0.266491974 0.8226438696 0.986155398 -0.74288771
## [375,] 0.076232955 0.153437376 1.0771830042 -0.148707335 -0.52105562
## [376,] 0.330919236 0.585836003 -0.9252780873 -1.747569159 1.02486614
## [377,] 0.284167922 0.239214829 -1.1383073255 -0.813612049 -0.72063429
## [378,] 2.781141942 -0.996956143 0.6064592025 -1.831005798 -0.95010600
## [379,] 2.633297996 -1.699052969 0.1749884880 -2.298011735 -1.11606392
## [380,] -0.198933980 -0.528849124 -0.2067306783 -0.416450529 -0.22936189
## [381,] 1.119789361 0.776487949 -1.2503075040 -0.629612342 0.30657099
## [382,] 0.123221300 1.245468037 -2.5723258673 -1.451778946 -0.76264767
## [383,] -0.360710452 -0.144773046 -2.0950025548 -1.029651367 2.37633176
## [384,] -0.820688488 0.249760800 -0.1630684451 0.519222264 0.34559830
## [385,] 0.496355033 -0.514126199 -0.7553130283 1.315428220 0.60420900
## [386,] -1.049333789 0.371669732 -0.6040599529 -0.968356913 -0.21100448
## [387,] -0.741743143 0.059354879 0.0216244140 -0.698583092 -0.17839621
## [388,] 0.395774142 -1.356188701 1.6037532687 0.631806744 0.76792979
## [389,] 0.339777713 -0.347411600 2.4726969740 0.341414318 0.24231733
## [390,] -0.597366017 0.970734624 -1.8028337806 -1.118239575 -0.77638695
## [391,] -0.335746271 -0.736705684 -0.7409662873 0.569054154 -0.40943009
## [392,] -0.500279818 0.921955105 -0.1554863456 0.092504899 -0.07675284
## [393,] 0.122923687 -0.213241110 2.7098599986 -0.430258600 2.07097039
## [394,] -0.290229955 0.070225548 0.1918427870 0.578119722 -0.48753317
## [395,] -0.387978471 -0.058583159 0.2421617687 -0.315892379 0.69378183
## [396,] 0.199738322 -0.838112211 0.0407481966 -0.130080430 0.04758408
## [397,] -0.576800222 0.886544600 -0.4603054967 0.115874596 -0.02654473
## [398,] 0.183366774 1.725875496 -0.8211463116 -0.435498233 -0.60594407
## [399,] 0.778417781 0.562359604 -1.9619296639 -0.055187290 -0.17310789
## [400,] -0.442621601 -0.005953921 1.0132426383 -0.602038936 0.07178672
## [401,] -0.857192800 0.211117551 -0.0252394735 -0.963451156 -0.55974512
## [402,] 1.089708674 -0.180731743 -2.2386944677 1.397703790 1.06865674
## [403,] -0.513862120 -0.298379041 0.8749809671 -0.036823405 0.27948369
## [404,] -1.008510227 0.029210042 -0.0662848874 -0.792704016 -0.22818007
## [405,] -0.009789551 0.760943851 -0.1486105743 -0.152377354 0.57020545
## [406,] -0.836052221 0.174872143 -0.1598016083 -0.503568676 -0.34998647
## [407,] -0.793459986 -0.208977856 -0.2790498993 -0.632498338 -0.01581201
## [408,] -1.653008634 -3.818207319 0.3884782135 -0.567863328 0.94678844
## [409,] -0.642408114 -1.271393912 0.4793348092 0.129021082 0.00864990
## [410,] -0.121635347 0.306594486 0.3826322147 -0.710138415 -1.13736479
## [411,] -0.755766824 0.291337924 1.1644164409 -0.682973859 -0.65064762
## [412,] 2.873991942 -1.452321017 -2.6719563186 -0.432878644 -0.74538297
## [413,] 0.555489220 0.201224849 -0.2462561666 2.506361808 -2.05805369
## [414,] -1.724690725 0.153673390 0.5468770515 -1.400266281 0.09499478
## [415,] 0.385055498 0.630416358 -0.5510937708 0.181331425 -0.36965104
## [416,] -0.204289522 1.078257681 -2.3976320636 -1.054880795 -0.16385334
## [417,] -0.457180800 0.442290318 0.1911841203 0.223479633 0.42328312
## [418,] -0.132964814 0.817084369 1.1112663957 1.250054785 -0.87196979
## [419,] 0.710958261 -0.664684754 -0.3966598722 -0.860433991 1.19553564
## [420,] -0.650792148 0.598655561 0.3732704649 -0.366108957 -0.86878455
## [421,] 2.624039316 -1.274953726 -0.8298510389 -2.632167019 -1.26280111
## [422,] -0.246758479 0.237061352 -0.3332948353 0.256445947 0.09498334
## [423,] -0.767067298 -0.254329770 0.1239072111 -0.404761384 -0.97267732
## [424,] -0.980589450 1.158704521 1.2668814452 -1.289844811 -0.41094930
## [425,] 0.308811256 0.137768895 -1.1856437807 -0.736527696 -0.12147038
## [426,] 0.022846455 0.345430872 0.6858750503 0.107999471 -0.90059754
## [427,] -0.089626143 0.502335678 0.6297819108 -0.853389930 -0.32715442
## [428,] 0.152622304 -0.419930050 -1.7957096311 0.645904234 -0.02325321
## [429,] -0.408067381 0.925147226 -0.7250379746 0.500221747 0.30994476
## [430,] -0.099214592 0.515486361 0.9451449603 -0.617236590 -0.24273053
## [431,] 0.405498892 0.174616896 0.0880193831 0.450815554 -0.03665578
## [432,] 0.353099336 -0.334650257 0.1905461554 0.720305798 -0.25808485
## [433,] -1.163496864 0.167083207 0.1535673875 -1.297846357 -0.33379314
## [434,] -0.439543142 0.304690353 1.1129930007 -1.595343342 1.79572280
## [435,] -0.886079790 0.799881668 -0.1690177131 -0.118989492 -0.93617369
## [436,] -1.323805941 1.467581078 2.0537592855 -0.134098485 -0.24686327
## [437,] -0.549642802 0.402449547 -0.3361073676 -0.557090733 -0.38838864
## [438,] 0.055459868 -0.273582377 -0.4275376060 0.206083099 -0.36533272
## [439,] -0.697507478 1.711127147 -2.0364477145 -1.807645949 0.54204188
## [440,] -0.810434615 -0.226350902 -0.4735737202 -0.395841528 0.19001608
## [441,] -0.066153332 -0.297931187 -0.2227371446 -1.016862477 0.63036262
## [442,] -0.019878982 0.083412498 1.5133598265 -0.854816608 1.02995402
## [443,] -0.379401087 -0.181140905 0.1155466053 0.824139936 -0.99979219
## [444,] 1.783772803 0.302164339 -0.4773764193 1.317067729 -0.30570575
## [445,] 0.659393482 0.793912499 -0.8691863389 0.713711696 -0.09791983
## [446,] -0.314053852 -0.778555911 -0.4014396190 0.246232718 -0.33563437
## [447,] 0.548793958 0.294312059 0.0932835331 2.053964645 -2.26258457
## [448,] -1.654325477 0.315797255 0.4601942443 -1.174320773 -0.06454266
## [449,] 0.903086852 1.000171932 -1.4367506776 1.010691366 0.48436937
## [450,] -0.187656057 -0.578855658 2.4274228902 1.272061351 0.22565802
## [451,] 0.452467269 0.455376943 -0.2876506571 0.414722382 2.41018221
## [452,] 0.217665041 0.538428276 -0.8192375581 0.719403134 1.13169362
## [453,] -1.051931076 -0.163110643 -0.4347668561 -0.340412847 0.23879682
## [454,] -0.304689743 0.084186577 -0.9774225195 0.336644491 -1.10973169
## [455,] 0.796737244 -0.234585116 0.4740311202 1.398534027 0.09252151
## [456,] 0.112337240 0.177400347 -0.5549209246 -1.026392282 -1.16949129
## [457,] 0.519943150 0.017655775 0.9269519840 0.779933330 0.79073941
## [458,] -0.716074961 -0.019660815 -0.1325586852 -0.017687686 -1.16841022
## [459,] 0.842042036 0.116907442 -0.1605738252 0.358800628 2.85154915
## [460,] -0.780540175 -0.146312570 -0.4194713392 0.052832283 -0.23706271
## [461,] 0.861546417 -0.428043287 0.3239001757 -0.138428751 1.14241149
## [462,] 0.261546498 -0.541644795 -1.7805527831 1.338671341 0.03896826
## [463,] -0.002543948 0.236349513 0.8527779262 -0.976126092 0.75353383
## [464,] -1.447870619 0.796507804 0.1198723238 -0.160968241 -0.26272859
## [465,] -0.402251944 -0.583430764 0.0836062275 0.109720347 -0.70081842
## [466,] -0.111623486 0.174717173 -0.0950031599 1.356650459 -0.69625457
## [467,] -0.619127597 0.229149092 -1.0156279911 0.051576586 -1.52385263
## [468,] -0.383812181 -0.721514528 -0.7641350287 0.808561050 -0.34551111
## [469,] -0.505718510 -0.210917843 -0.5020709282 0.145411758 0.34540356
## [470,] -0.426191333 -0.040953145 1.8041767406 0.262308216 0.63328365
## [471,] 0.898961102 -0.085421816 -1.2653430571 -0.318436794 0.99170784
## [472,] -0.595435801 0.215069557 -0.8469119923 -0.092162746 -0.11837253
## [473,] 0.737118882 0.606726569 -0.3654640935 -0.629356728 1.36517170
## [474,] -0.564472472 0.478274325 -0.0648249565 -0.046955437 -0.33295729
## [475,] 0.098335601 -0.359437615 1.1743983763 0.310085782 1.14485491
## [476,] -0.113977635 -0.390024406 0.3223171745 0.718505221 -0.66310895
## [477,] 0.331371306 -0.539446311 -1.2285979858 -0.132958952 0.80128771
## [478,] -0.705202043 -0.423852724 -0.9839585095 0.834705815 -0.20720895
## [479,] 2.246847233 -0.942178327 -0.7100563737 -1.933861438 -2.01968676
## [480,] -0.642713173 0.510054073 0.5411217914 -0.648731719 -0.17061857
## [481,] 0.107365823 -0.661696620 -0.0396350702 -0.033311784 1.00434480
## [482,] 0.283436667 0.428801526 0.0152108266 1.367414993 -1.15687998
## [483,] 0.065400487 0.090158465 -0.5254960923 -0.177935666 -0.86873917
## [484,] 0.092906489 0.061647983 -0.0521118436 -0.592007983 -0.99638498
## [485,] -0.531949195 0.721855476 1.5371275051 -1.026919595 -0.42602493
## [486,] -1.012445984 0.169653265 0.6815610725 0.784833196 -0.57115814
## [487,] -0.720914426 0.662413186 1.6026673024 -1.266610191 -0.45200293
## [488,] -1.103671226 0.479647023 0.1349428804 0.104864287 -0.25261647
## [489,] -1.981092306 -4.112394400 0.8408855525 -0.504793020 0.49829923
## [490,] -0.481504071 0.145646764 0.7202406335 0.675654032 -0.07616772
## [491,] 1.286562053 0.571081315 -3.0045908425 2.200112545 1.39462383
## [492,] -0.902497916 -0.187893628 -0.6553447474 -0.159320534 0.54341724
## [493,] 0.939123331 0.395336650 0.5945369778 1.135394818 -1.02127820
## [494,] -0.478821327 0.009144093 0.4088724608 -0.139362745 0.67216639
## [495,] 1.132293919 -0.242035975 -0.1600572798 -0.063539472 1.03349420
## [496,] 0.375523152 -0.638876224 -0.4122664536 0.842437946 0.19833226
## [497,] 0.087127323 0.517119986 -1.0680172500 1.613468206 -0.36078416
## [498,] 0.147861559 -1.086699708 -0.5832488993 -0.327562849 0.42721919
## [499,] -0.842538598 0.222271008 0.3186220417 -0.854300824 1.52295605
## PC11 PC12 PC13 PC14 PC15
## [1,] 1.3542167075 -0.8390318782 -1.335221239 -0.653479827 -1.201760984
## [2,] 1.1119057703 0.8050495986 0.122044327 0.187913164 -0.118213324
## [3,] 0.8047119226 -0.1774440450 1.735491254 0.062404790 -0.831311703
## [4,] 0.4923129469 -0.3571799061 -0.104640411 0.012379354 0.396415206
## [5,] -0.6793533175 -0.6529626298 0.195948672 0.943956948 -0.035879000
## [6,] 0.0920774460 -0.3891777643 -1.414937674 0.473655936 -0.135087170
## [7,] -0.1403325526 0.6861576912 1.947408696 -0.381963997 -0.241390831
## [8,] -0.1273500471 0.4444874767 -0.064070801 -0.648846009 1.020479941
## [9,] -0.2185516073 -0.5265172401 -0.721515723 0.184645475 0.650374109
## [10,] -0.1475182801 0.3546807726 -0.156753465 -0.507987500 0.046211252
## [11,] -1.1500378056 -0.9664273280 -0.756378824 0.770790917 0.217588839
## [12,] 0.6229115273 0.3692609465 -0.681177690 -0.645329985 -0.455908973
## [13,] 0.9589931767 0.4155300305 -1.004390277 -0.396077643 -0.143019564
## [14,] 0.5629572594 1.1832388210 0.891912349 1.105293361 -0.285804947
## [15,] -0.7580146110 -0.4245826202 1.238923011 -1.336075334 -0.616922621
## [16,] -0.2752851337 -0.6342422588 0.038063559 0.650813121 0.672469605
## [17,] -0.0303815755 -0.2276836198 0.555492026 0.638177913 0.038165845
## [18,] -0.0001096449 -0.1311612888 1.165236566 -0.257115813 -0.430162545
## [19,] -0.2276386065 -0.2716628718 -0.027488004 0.125562659 0.191491280
## [20,] 0.5900361064 -0.3955407747 -0.552963079 -0.756706581 -0.593077800
## [21,] -0.3618281726 -0.0995618058 -0.308617108 -0.010599219 -0.540934742
## [22,] 1.2416785196 -1.9296164691 -0.316941644 0.473586995 0.116089027
## [23,] -0.6517964559 0.3916285650 0.437846597 -0.194436931 0.362632658
## [24,] 0.0930029515 0.0722223406 0.542685457 0.742737219 -0.731174203
## [25,] 0.6539650679 -1.4120948005 1.137746124 -0.262194529 -0.988958125
## [26,] 0.9610677650 0.3392853842 0.363601821 0.392254411 0.086615959
## [27,] -1.4388112119 0.2947098666 -0.240396086 -0.042407846 -0.575471794
## [28,] -0.1904098695 0.4618737983 -0.810035489 0.801402904 0.392560201
## [29,] -0.0861874859 -0.2253184655 0.306845650 0.670217213 -0.211452310
## [30,] -0.7354258530 -0.7295878981 0.465209606 1.187560482 -0.144557029
## [31,] -0.3410652176 0.9248756130 -0.843890573 -1.696573356 0.033006063
## [32,] -0.7417956391 -0.1924596310 -0.691507400 -1.177244687 -0.103323023
## [33,] 1.3240225724 0.1459418445 -1.152195068 0.094129511 0.576323376
## [34,] -0.6363827613 0.2013398294 -0.853389892 -1.541378698 0.877812519
## [35,] -0.5647101277 -0.2781497714 -0.413960054 -0.166268715 -0.064692011
## [36,] -0.0557013033 1.6127275983 0.817604676 0.742013543 -0.755493157
## [37,] -0.1473745585 1.0210664472 -0.386338335 -0.379961410 -0.062531924
## [38,] 0.0545683199 -0.3405148813 0.729673617 -0.569399881 0.128266858
## [39,] 0.2926528023 -0.2057410002 -0.040422226 0.394097792 0.025946626
## [40,] 0.2496095897 -0.0084896256 1.016777983 0.561339268 -0.494803252
## [41,] -0.3415868702 0.3674537160 0.386789037 0.483660330 0.892373684
## [42,] 0.7419103638 0.1343991905 0.423326385 -0.147659080 0.261871674
## [43,] -0.7743143786 0.9448473759 -0.546705582 -2.087135617 -1.347601068
## [44,] 0.6996024208 0.1386716838 -1.552192680 0.775046538 -0.562216191
## [45,] -0.0257465232 -0.0532927218 -0.631829695 0.238653123 -0.228045333
## [46,] -1.2094088125 -0.0421318917 -1.099271598 -0.766400435 1.270325525
## [47,] -0.7719913054 -0.3918782250 -0.860040408 0.400716265 -0.699115286
## [48,] -0.1415355327 0.1494277456 0.312059750 0.051668201 -0.617662984
## [49,] 1.0351374441 0.0842553025 -1.032585112 0.042572684 0.715761384
## [50,] 1.1461639339 0.2696271483 0.202237419 -0.748034704 0.718899176
## [51,] 0.5914574471 -0.1805550956 -0.130799356 1.232288730 0.119425079
## [52,] 0.8050018606 -0.8285746824 0.958237627 0.021691457 0.675840847
## [53,] -0.4823485703 -0.5196757316 0.091033423 0.185206160 0.566789363
## [54,] -0.3111851965 -0.2682652932 -0.191064621 0.242432434 0.032055615
## [55,] -0.3758644789 0.2744836298 0.589152917 -0.102375631 -0.481857429
## [56,] -0.2102820829 1.1897721774 0.968486339 -0.408075652 -0.616024095
## [57,] -1.1145202622 0.2244600071 -0.329637050 0.462111227 0.256812493
## [58,] -0.3011498706 -0.0315582847 -1.402890906 1.006464704 -1.138290394
## [59,] -1.4242167006 0.1433279998 0.097917037 -0.294035807 -0.414302759
## [60,] 0.4003121787 0.5322677799 0.238867126 0.232023420 -0.373699042
## [61,] 0.5913373055 -1.3722988555 1.093437443 0.058265384 -0.110344779
## [62,] 0.0676647440 0.4394543802 0.145957429 0.990822504 0.213467906
## [63,] -1.6661235844 -1.1075055408 -0.675451505 -0.843087358 -0.384883924
## [64,] 0.6322992966 1.2426953838 1.685538826 -0.098344647 0.270122605
## [65,] 0.7187123246 0.0497947336 -0.703424821 -0.494030761 0.033970819
## [66,] 1.7194039534 0.0241817504 0.812624989 0.473629963 -0.396258468
## [67,] 0.3909606948 0.2181532388 -0.922774588 0.297166062 -1.063738268
## [68,] -0.8312379073 -0.4447912377 -0.341236761 0.110573014 -0.041025287
## [69,] 0.2625753518 -0.2947427427 -0.627647372 0.080097572 -0.760730892
## [70,] -0.3665735814 -0.4097206373 -0.108628198 0.073184223 -0.090772676
## [71,] 0.8001178223 -0.1749297355 -0.550125777 -0.532334611 -0.193834878
## [72,] -1.8065275622 0.2867300611 -0.478050831 0.173049578 -0.246360686
## [73,] 0.3738386048 1.4043490582 0.204927754 -1.398477383 -0.284826255
## [74,] 0.8742485773 0.4731417228 0.069473988 -0.560662688 -0.494221072
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## [373,] 1.2152474780 0.3272727544 0.906362827 1.137841476 0.098449893
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## [377,] 0.6382496357 2.2603244428 0.339193213 0.591747182 0.216823830
## [378,] -0.0361763930 -1.1100294396 0.698577056 1.019444806 0.116286670
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## [466,] 2.3877284251 -0.6445370373 -1.303752450 -0.468697114 0.592509936
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## [475,] 0.9635907772 1.2396342616 -1.515897563 0.306307515 0.566332634
## [476,] -1.0836690160 0.4484217807 -0.284191483 1.305403304 -0.910291760
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## [481,] -1.6965259534 -0.1566650120 0.265957366 0.459491998 0.112317012
## [482,] 1.2715768281 1.7795248836 -0.077938273 0.099692926 0.844098233
## [483,] 0.4317369145 -0.2296982819 -0.118146241 -0.266244503 0.512565465
## [484,] 0.3638963142 -0.0005303922 -0.117540676 -0.454244107 -0.079427617
## [485,] 0.4747970273 0.4560764543 -0.165245093 -0.784073520 0.507677120
## [486,] -0.4665881355 -1.4842361392 -0.495078547 1.338317560 -0.517087594
## [487,] 0.5381076467 0.2561772157 0.458505597 -0.974226335 0.333396684
## [488,] -0.2179486181 -0.4411455092 0.204170284 0.355760929 0.508136428
## [489,] 0.2161722957 1.9287359750 -0.136144209 0.125484014 -0.642096358
## [490,] 0.3035417256 -1.1237087667 0.067009928 -0.613998521 -0.277005999
## [491,] 0.3810242318 -0.1666734610 1.296842497 0.069755433 0.899001459
## [492,] 0.9078925399 -0.2282314589 -0.606941580 0.690541851 0.158422637
## [493,] -0.4893926815 -0.4952354525 -1.187569008 0.629952148 0.851133117
## [494,] 0.2327953660 -0.0852221244 0.849059657 0.513800161 0.014909814
## [495,] -1.4649412529 0.5529571694 -0.445646364 -0.065352555 -0.396007604
## [496,] -0.0745516169 1.1884399671 1.009547836 0.010708070 -0.186283129
## [497,] -0.8880318353 -0.8524930333 0.168430308 0.262811058 0.590072028
## [498,] 1.2293121693 1.3237879309 0.805266934 0.853220026 0.093281795
## [499,] -0.9047601387 -1.3682466199 0.233433553 -0.240674932 -0.164573289plot(Diabetes_pca)
#get the original value of the data based on PCA
center <- Diabetes_pca$center
scale <- Diabetes_pca$scale
new_sparrow <- as.matrix(Diabetes[,-1])
new_sparrow## HighBP BMI Smoker Stroke HeartDiseaseorAttack PhysActivity
## [1,] 1 26 0 0 0 1
## [2,] 1 26 1 1 0 0
## [3,] 0 26 0 0 0 1
## [4,] 1 28 1 0 0 1
## [5,] 0 29 1 0 0 1
## [6,] 0 18 0 0 0 1
## [7,] 0 26 1 0 0 1
## [8,] 0 31 1 0 0 0
## [9,] 0 32 0 0 0 1
## [10,] 0 27 1 0 0 0
## [11,] 1 24 1 0 1 1
## [12,] 0 21 0 0 0 1
## [13,] 1 27 0 0 0 1
## [14,] 1 58 0 0 0 0
## [15,] 0 29 1 0 0 1
## [16,] 0 18 1 0 0 1
## [17,] 0 30 0 0 0 1
## [18,] 0 30 1 0 0 1
## [19,] 0 20 0 0 0 1
## [20,] 1 26 0 0 0 0
## [21,] 0 22 0 0 0 1
## [22,] 1 29 1 0 0 1
## [23,] 0 22 0 0 0 1
## [24,] 0 30 0 0 0 1
## [25,] 0 27 0 0 0 1
## [26,] 0 28 0 0 0 1
## [27,] 1 20 1 0 0 0
## [28,] 1 32 0 0 0 0
## [29,] 0 38 0 0 0 1
## [30,] 0 40 1 0 0 1
## [31,] 1 24 1 0 0 1
## [32,] 0 24 1 0 0 1
## [33,] 0 20 0 0 0 1
## [34,] 0 20 0 0 0 0
## [35,] 1 29 1 0 1 1
## [36,] 0 24 0 0 0 1
## [37,] 0 25 0 0 0 0
## [38,] 0 36 1 0 0 1
## [39,] 0 31 1 0 0 1
## [40,] 0 27 1 0 0 1
## [41,] 0 26 0 0 0 1
## [42,] 0 27 0 0 0 1
## [43,] 1 47 1 0 0 0
## [44,] 1 38 1 0 0 1
## [45,] 1 28 0 0 0 1
## [46,] 0 20 1 0 0 0
## [47,] 0 19 1 0 0 1
## [48,] 0 25 0 0 0 1
## [49,] 0 26 0 0 0 1
## [50,] 1 22 0 0 0 1
## [51,] 1 31 0 0 0 1
## [52,] 0 30 1 0 0 1
## [53,] 1 37 1 0 1 1
## [54,] 0 31 0 0 0 1
## [55,] 0 22 0 0 0 1
## [56,] 0 26 0 0 0 0
## [57,] 0 41 0 0 0 0
## [58,] 1 22 1 0 0 1
## [59,] 0 23 1 0 0 1
## [60,] 1 34 1 0 0 0
## [61,] 0 27 1 0 0 1
## [62,] 1 38 0 0 0 0
## [63,] 1 19 1 0 1 1
## [64,] 0 29 0 0 0 1
## [65,] 0 27 0 0 0 1
## [66,] 0 24 1 1 0 1
## [67,] 1 36 1 0 0 1
## [68,] 1 35 1 0 1 1
## [69,] 1 32 0 0 0 1
## [70,] 0 42 0 0 0 1
## [71,] 0 24 0 0 0 1
## [72,] 0 25 1 0 0 0
## [73,] 1 21 1 0 0 0
## [74,] 0 23 0 0 0 1
## [75,] 0 26 0 0 0 1
## [76,] 1 31 1 0 0 1
## [77,] 0 20 1 0 0 1
## [78,] 0 37 0 0 0 1
## [79,] 0 23 1 0 0 1
## [80,] 1 34 1 0 0 1
## [81,] 0 17 0 0 0 1
## [82,] 0 37 1 0 0 0
## [83,] 1 36 0 0 0 1
## [84,] 0 21 0 0 0 1
## [85,] 1 40 1 0 0 1
## [86,] 0 22 0 0 0 1
## [87,] 0 33 0 0 0 1
## [88,] 1 26 1 1 1 0
## [89,] 1 30 0 0 0 0
## [90,] 0 32 1 0 0 0
## [91,] 1 32 1 0 0 1
## [92,] 0 23 0 0 0 1
## [93,] 1 36 1 0 1 0
## [94,] 0 30 0 0 0 1
## [95,] 1 24 1 0 1 0
## [96,] 0 22 0 0 0 1
## [97,] 0 21 0 0 0 1
## [98,] 0 35 0 0 0 1
## [99,] 0 31 0 0 0 1
## [100,] 0 47 0 0 0 1
## [101,] 1 25 0 0 0 0
## [102,] 0 31 0 0 1 0
## [103,] 0 28 0 0 0 1
## [104,] 1 28 1 0 1 0
## [105,] 0 38 0 0 0 1
## [106,] 1 27 0 0 0 0
## [107,] 0 20 1 0 0 1
## [108,] 0 31 1 0 0 1
## [109,] 1 28 1 0 0 0
## [110,] 0 44 1 0 0 0
## [111,] 0 27 1 0 0 1
## [112,] 0 26 1 0 0 0
## [113,] 1 40 1 0 0 1
## [114,] 1 27 1 0 0 1
## [115,] 0 22 0 0 0 1
## [116,] 0 21 0 0 0 1
## [117,] 0 20 1 0 0 1
## [118,] 1 27 1 0 0 0
## [119,] 0 28 0 0 0 0
## [120,] 0 31 1 0 0 0
## [121,] 0 22 1 0 0 1
## [122,] 0 36 0 0 0 1
## [123,] 0 24 0 0 0 1
## [124,] 0 28 0 0 0 1
## [125,] 0 26 0 0 0 1
## [126,] 0 30 1 0 0 1
## [127,] 1 29 0 0 1 1
## [128,] 1 24 0 0 0 0
## [129,] 0 23 0 0 0 1
## [130,] 0 27 1 0 0 1
## [131,] 1 27 1 0 0 1
## [132,] 0 30 0 0 0 1
## [133,] 1 23 1 0 0 1
## [134,] 1 36 1 0 0 1
## [135,] 0 21 0 0 0 1
## [136,] 1 29 1 1 0 1
## [137,] 0 25 1 0 0 1
## [138,] 0 29 1 0 0 1
## [139,] 0 24 1 0 0 1
## [140,] 1 27 1 0 0 1
## [141,] 0 20 0 0 1 1
## [142,] 1 37 1 0 0 1
## [143,] 1 24 1 0 0 1
## [144,] 0 25 1 0 0 0
## [145,] 0 22 0 0 0 1
## [146,] 0 23 0 0 0 1
## [147,] 1 27 0 0 0 1
## [148,] 1 26 1 0 0 1
## [149,] 1 31 1 0 1 1
## [150,] 0 22 0 0 0 1
## [151,] 1 23 1 0 1 1
## [152,] 0 25 1 0 1 1
## [153,] 1 22 0 0 0 1
## [154,] 0 29 0 0 0 1
## [155,] 1 28 1 0 0 1
## [156,] 0 31 0 0 0 1
## [157,] 1 26 1 0 0 0
## [158,] 1 28 1 0 0 1
## [159,] 0 27 0 0 0 1
## [160,] 0 28 1 0 0 1
## [161,] 0 26 0 0 0 1
## [162,] 1 24 0 0 0 1
## [163,] 0 24 0 0 0 1
## [164,] 1 29 0 0 0 0
## [165,] 0 31 0 0 0 1
## [166,] 0 35 0 0 0 1
## [167,] 0 24 0 0 0 1
## [168,] 0 26 0 0 0 0
## [169,] 0 26 0 0 1 0
## [170,] 0 27 0 0 0 1
## [171,] 1 27 1 0 0 1
## [172,] 1 32 0 0 0 0
## [173,] 1 31 0 0 0 1
## [174,] 0 24 0 0 0 1
## [175,] 1 34 1 0 0 1
## [176,] 0 31 0 0 0 1
## [177,] 0 36 1 0 0 1
## [178,] 1 47 0 0 0 1
## [179,] 1 27 0 0 0 1
## [180,] 0 31 0 0 0 1
## [181,] 0 15 1 1 1 0
## [182,] 0 23 1 0 0 1
## [183,] 1 32 1 0 0 1
## [184,] 1 29 1 0 0 1
## [185,] 0 21 0 0 0 1
## [186,] 0 21 1 1 0 1
## [187,] 0 30 0 0 0 1
## [188,] 0 30 0 0 0 1
## [189,] 0 25 0 0 0 1
## [190,] 0 19 1 0 0 1
## [191,] 0 33 1 0 0 1
## [192,] 1 28 0 1 1 0
## [193,] 1 52 1 0 0 1
## [194,] 1 31 1 0 0 1
## [195,] 0 25 0 0 0 1
## [196,] 1 25 1 0 1 1
## [197,] 1 25 1 0 1 1
## [198,] 0 31 1 0 0 1
## [199,] 1 29 1 0 0 1
## [200,] 0 69 0 0 0 0
## [201,] 0 30 1 0 1 1
## [202,] 0 29 0 0 0 0
## [203,] 1 22 1 0 0 1
## [204,] 0 22 1 0 0 0
## [205,] 1 30 0 0 0 1
## [206,] 0 21 1 0 0 1
## [207,] 0 34 0 0 0 1
## [208,] 0 25 0 0 0 1
## [209,] 1 27 0 0 0 1
## [210,] 1 27 0 0 0 1
## [211,] 0 23 1 0 0 1
## [212,] 1 36 0 0 0 1
## [213,] 1 38 1 0 0 1
## [214,] 1 28 1 0 1 0
## [215,] 1 26 0 1 1 1
## [216,] 1 22 0 0 0 1
## [217,] 1 30 1 0 0 1
## [218,] 0 24 0 0 0 1
## [219,] 0 19 0 0 0 1
## [220,] 0 28 0 0 0 0
## [221,] 0 31 1 0 0 1
## [222,] 1 32 0 0 0 1
## [223,] 0 24 0 0 0 1
## [224,] 1 25 0 0 0 1
## [225,] 0 32 0 0 0 1
## [226,] 0 21 0 0 0 1
## [227,] 0 25 0 0 1 1
## [228,] 0 22 1 0 0 1
## [229,] 1 27 1 0 0 1
## [230,] 0 25 0 0 0 1
## [231,] 1 28 1 1 1 0
## [232,] 1 27 0 0 1 1
## [233,] 0 33 1 0 0 1
## [234,] 0 34 0 0 0 1
## [235,] 1 37 0 0 0 1
## [236,] 0 25 1 0 0 1
## [237,] 0 22 0 0 0 1
## [238,] 0 23 1 0 0 1
## [239,] 1 28 1 0 0 1
## [240,] 1 36 1 0 1 1
## [241,] 0 19 0 0 0 1
## [242,] 1 28 0 0 0 0
## [243,] 0 29 1 0 0 1
## [244,] 0 23 1 0 0 1
## [245,] 1 33 1 0 0 1
## [246,] 0 25 1 0 0 1
## [247,] 1 22 0 0 0 1
## [248,] 1 28 0 0 1 1
## [249,] 1 33 1 0 0 1
## [250,] 1 30 1 0 1 0
## [251,] 0 25 1 0 0 1
## [252,] 1 28 0 0 0 0
## [253,] 0 23 1 0 0 1
## [254,] 1 27 0 0 0 1
## [255,] 1 37 1 1 1 0
## [256,] 1 28 1 0 1 0
## [257,] 1 27 1 0 0 0
## [258,] 1 34 1 1 0 1
## [259,] 1 24 1 0 0 0
## [260,] 1 31 0 0 0 0
## [261,] 1 33 1 0 0 0
## [262,] 1 27 1 0 0 0
## [263,] 1 27 0 0 0 1
## [264,] 1 21 1 0 0 1
## [265,] 1 23 1 1 1 0
## [266,] 1 27 0 0 1 1
## [267,] 1 35 0 0 0 1
## [268,] 0 32 0 0 1 1
## [269,] 1 45 0 0 0 0
## [270,] 1 31 1 0 1 1
## [271,] 1 29 1 0 0 1
## [272,] 0 29 1 1 0 1
## [273,] 1 25 1 0 1 0
## [274,] 0 32 0 0 0 1
## [275,] 1 30 0 0 0 1
## [276,] 1 32 1 0 0 1
## [277,] 0 29 0 0 0 0
## [278,] 1 24 1 0 0 1
## [279,] 1 28 0 0 0 0
## [280,] 1 29 1 0 0 1
## [281,] 1 29 0 0 0 0
## [282,] 1 26 0 0 0 1
## [283,] 1 33 0 0 0 1
## [284,] 1 47 1 0 0 0
## [285,] 1 27 0 0 0 1
## [286,] 0 34 1 0 0 1
## [287,] 1 40 0 0 0 0
## [288,] 1 34 0 0 0 0
## [289,] 1 29 1 0 0 1
## [290,] 1 28 0 0 1 0
## [291,] 1 32 1 0 0 1
## [292,] 1 37 0 0 1 1
## [293,] 1 33 0 0 0 1
## [294,] 1 29 1 1 1 0
## [295,] 1 55 0 0 0 0
## [296,] 1 31 1 0 0 1
## [297,] 1 28 1 1 0 0
## [298,] 1 30 0 0 0 1
## [299,] 1 38 1 0 0 0
## [300,] 1 24 1 0 0 1
## [301,] 1 32 0 0 0 1
## [302,] 0 34 1 0 0 0
## [303,] 1 26 1 0 1 0
## [304,] 1 23 0 0 0 0
## [305,] 0 27 0 1 0 1
## [306,] 0 28 1 0 0 0
## [307,] 1 16 0 0 0 0
## [308,] 1 31 1 1 1 1
## [309,] 1 27 0 0 0 0
## [310,] 1 37 0 0 0 1
## [311,] 1 26 0 0 0 0
## [312,] 1 29 1 0 0 0
## [313,] 0 30 1 0 0 0
## [314,] 1 21 0 1 0 1
## [315,] 1 25 0 0 0 1
## [316,] 0 30 1 0 0 1
## [317,] 1 32 0 0 1 1
## [318,] 1 27 1 0 1 0
## [319,] 1 34 0 0 1 1
## [320,] 1 26 1 1 0 0
## [321,] 1 23 0 1 0 0
## [322,] 1 45 0 0 0 0
## [323,] 1 37 1 0 0 0
## [324,] 1 31 1 0 1 1
## [325,] 1 25 1 0 0 0
## [326,] 0 43 0 0 0 0
## [327,] 1 24 0 0 0 0
## [328,] 1 38 1 1 0 1
## [329,] 1 42 0 0 0 0
## [330,] 0 26 1 0 0 0
## [331,] 1 47 1 0 1 0
## [332,] 1 25 0 1 1 1
## [333,] 1 31 0 0 0 0
## [334,] 1 44 1 0 0 1
## [335,] 1 43 0 0 0 1
## [336,] 1 36 0 1 0 1
## [337,] 0 30 0 0 0 1
## [338,] 0 22 0 0 0 1
## [339,] 1 30 0 0 0 1
## [340,] 1 34 1 1 0 0
## [341,] 1 40 0 0 0 1
## [342,] 1 32 0 0 0 0
## [343,] 1 28 0 0 0 0
## [344,] 1 40 0 1 0 0
## [345,] 1 34 1 0 0 0
## [346,] 1 30 0 0 1 1
## [347,] 1 35 1 0 0 1
## [348,] 1 49 0 1 1 0
## [349,] 1 28 0 0 0 0
## [350,] 1 23 1 1 0 1
## [351,] 1 35 0 1 1 0
## [352,] 1 43 0 0 0 0
## [353,] 1 26 0 0 0 1
## [354,] 0 25 1 0 1 1
## [355,] 0 39 1 0 0 0
## [356,] 0 31 1 0 0 1
## [357,] 1 36 0 0 0 0
## [358,] 1 33 0 1 0 0
## [359,] 1 24 0 0 0 1
## [360,] 1 24 0 0 0 0
## [361,] 1 40 1 0 0 1
## [362,] 0 42 1 1 0 0
## [363,] 1 24 1 0 0 1
## [364,] 1 29 1 0 1 0
## [365,] 1 34 1 0 1 1
## [366,] 1 33 0 0 1 1
## [367,] 1 24 0 0 0 0
## [368,] 1 39 0 0 0 1
## [369,] 1 36 1 0 1 0
## [370,] 1 24 1 0 1 1
## [371,] 1 28 0 0 0 0
## [372,] 1 30 0 0 0 0
## [373,] 0 30 0 0 0 1
## [374,] 0 33 1 0 0 0
## [375,] 1 27 1 0 0 0
## [376,] 1 27 0 0 1 1
## [377,] 1 30 1 0 0 1
## [378,] 0 26 0 0 0 1
## [379,] 1 26 0 0 0 1
## [380,] 1 36 1 0 0 1
## [381,] 1 35 1 0 1 0
## [382,] 1 32 1 0 1 1
## [383,] 1 42 0 0 1 1
## [384,] 1 43 0 0 0 0
## [385,] 1 29 1 1 1 1
## [386,] 1 30 0 0 0 1
## [387,] 1 25 0 0 0 1
## [388,] 1 30 1 0 0 0
## [389,] 0 22 1 0 0 0
## [390,] 1 32 0 0 0 1
## [391,] 1 36 1 0 0 1
## [392,] 0 29 0 0 0 1
## [393,] 0 20 1 0 1 0
## [394,] 0 29 1 0 0 1
## [395,] 0 27 0 0 0 1
## [396,] 1 29 1 0 0 1
## [397,] 0 34 0 0 0 1
## [398,] 1 27 0 1 1 0
## [399,] 1 28 0 1 1 1
## [400,] 1 32 1 0 0 0
## [401,] 1 24 0 0 0 1
## [402,] 1 37 0 1 1 1
## [403,] 1 30 0 0 0 0
## [404,] 1 29 0 0 0 1
## [405,] 0 33 0 0 0 1
## [406,] 1 26 0 0 0 1
## [407,] 1 30 0 0 0 1
## [408,] 1 28 1 0 1 0
## [409,] 1 28 1 0 0 1
## [410,] 1 21 1 0 0 1
## [411,] 1 25 0 0 0 0
## [412,] 1 59 0 0 0 1
## [413,] 1 35 1 1 0 0
## [414,] 1 26 0 0 0 1
## [415,] 0 32 1 0 0 1
## [416,] 1 43 0 0 0 1
## [417,] 0 27 0 0 0 1
## [418,] 0 26 1 0 0 0
## [419,] 1 26 1 0 1 1
## [420,] 1 32 0 0 0 0
## [421,] 1 30 0 0 0 1
## [422,] 1 37 0 0 0 0
## [423,] 1 25 1 0 0 1
## [424,] 1 30 0 0 0 0
## [425,] 1 25 1 0 1 1
## [426,] 1 34 1 0 0 0
## [427,] 1 32 0 0 0 0
## [428,] 1 52 1 0 0 1
## [429,] 0 36 0 0 0 1
## [430,] 1 28 0 0 0 0
## [431,] 0 30 1 0 0 1
## [432,] 1 41 1 0 0 0
## [433,] 1 23 0 0 0 1
## [434,] 1 31 0 0 1 0
## [435,] 1 41 0 0 0 0
## [436,] 0 25 0 0 0 0
## [437,] 1 25 0 0 0 1
## [438,] 1 34 1 0 0 1
## [439,] 1 32 0 0 1 1
## [440,] 1 33 0 0 0 1
## [441,] 1 31 0 0 0 1
## [442,] 1 25 1 0 1 0
## [443,] 1 40 1 0 0 0
## [444,] 1 31 1 1 1 0
## [445,] 1 34 0 1 1 0
## [446,] 1 31 1 0 0 1
## [447,] 1 30 1 1 0 0
## [448,] 1 28 0 0 0 1
## [449,] 0 31 0 1 1 1
## [450,] 0 22 1 0 0 0
## [451,] 0 36 0 0 1 0
## [452,] 0 41 0 0 0 1
## [453,] 1 35 0 0 0 1
## [454,] 1 34 1 0 0 1
## [455,] 1 27 1 1 1 0
## [456,] 1 25 1 0 0 1
## [457,] 1 20 0 1 1 0
## [458,] 1 28 1 0 0 1
## [459,] 0 46 0 0 1 0
## [460,] 1 32 1 0 0 1
## [461,] 1 33 1 0 1 0
## [462,] 1 42 1 0 0 1
## [463,] 1 31 1 0 1 0
## [464,] 1 45 0 0 0 0
## [465,] 1 25 1 0 0 1
## [466,] 1 23 0 1 0 1
## [467,] 1 35 1 0 0 1
## [468,] 1 37 1 0 0 1
## [469,] 1 45 0 0 0 0
## [470,] 0 26 0 0 0 0
## [471,] 1 33 1 0 1 1
## [472,] 1 33 0 0 0 1
## [473,] 1 34 0 0 1 0
## [474,] 1 37 0 0 0 0
## [475,] 1 32 0 0 0 0
## [476,] 1 37 1 0 0 0
## [477,] 1 32 1 0 1 1
## [478,] 1 43 1 0 0 1
## [479,] 1 33 1 0 0 1
## [480,] 0 21 0 0 0 1
## [481,] 1 37 1 0 1 0
## [482,] 1 29 0 1 0 0
## [483,] 1 32 1 0 0 1
## [484,] 1 25 1 0 0 1
## [485,] 1 24 0 0 0 0
## [486,] 1 41 1 0 0 0
## [487,] 1 25 0 0 0 0
## [488,] 1 43 0 0 0 0
## [489,] 1 28 0 0 0 0
## [490,] 1 42 1 0 0 0
## [491,] 0 48 0 1 1 1
## [492,] 1 37 0 0 0 1
## [493,] 1 18 1 1 1 0
## [494,] 0 27 0 0 0 1
## [495,] 1 34 1 0 1 0
## [496,] 1 49 1 0 0 0
## [497,] 0 39 1 0 0 1
## [498,] 1 37 1 0 0 1
## [499,] 1 37 0 0 1 0
## HvyAlcoholConsump AnyHealthcare GenHlth MentHlth PhysHlth Sex Age
## [1,] 0 1 3 5 30 1 4
## [2,] 0 1 3 0 0 1 12
## [3,] 0 1 1 0 10 1 13
## [4,] 0 1 3 0 3 1 11
## [5,] 0 1 2 0 0 0 8
## [6,] 0 0 2 7 0 0 1
## [7,] 1 1 1 0 0 1 13
## [8,] 0 1 4 0 0 1 6
## [9,] 0 1 3 0 0 0 3
## [10,] 0 1 3 0 6 1 6
## [11,] 0 1 3 0 4 0 12
## [12,] 0 1 1 0 0 1 4
## [13,] 0 1 2 0 0 1 7
## [14,] 0 1 3 3 3 1 10
## [15,] 0 1 1 0 0 0 10
## [16,] 0 1 3 0 0 0 10
## [17,] 0 1 2 0 0 0 9
## [18,] 0 1 1 0 0 1 10
## [19,] 0 1 2 0 0 0 8
## [20,] 0 0 3 0 15 1 7
## [21,] 0 1 1 0 0 0 6
## [22,] 0 1 5 0 30 1 10
## [23,] 1 1 2 0 0 0 8
## [24,] 0 1 1 0 0 0 9
## [25,] 0 1 3 4 30 0 10
## [26,] 0 1 2 2 1 1 8
## [27,] 0 1 2 0 3 0 12
## [28,] 0 1 4 0 4 0 9
## [29,] 0 1 2 2 2 0 6
## [30,] 0 1 2 0 0 0 7
## [31,] 0 1 4 30 14 0 4
## [32,] 0 1 2 5 0 0 3
## [33,] 0 1 3 0 2 1 4
## [34,] 0 1 4 0 4 0 4
## [35,] 0 1 2 0 0 1 11
## [36,] 0 1 1 20 0 0 9
## [37,] 0 1 2 0 0 1 5
## [38,] 0 1 2 0 0 1 7
## [39,] 0 1 2 0 0 1 6
## [40,] 0 1 1 0 0 1 11
## [41,] 1 1 3 1 0 0 8
## [42,] 0 1 2 0 0 1 8
## [43,] 0 1 1 0 0 1 3
## [44,] 0 1 2 0 0 1 4
## [45,] 0 1 2 0 0 0 9
## [46,] 0 1 5 7 7 0 3
## [47,] 0 1 1 0 0 0 5
## [48,] 0 1 1 2 0 0 8
## [49,] 0 1 3 0 0 1 3
## [50,] 0 1 3 0 0 1 13
## [51,] 0 1 3 0 3 0 12
## [52,] 0 1 5 15 25 1 8
## [53,] 0 1 3 0 0 1 12
## [54,] 0 1 2 1 0 0 5
## [55,] 0 1 1 5 0 0 9
## [56,] 0 1 1 0 0 1 10
## [57,] 0 1 3 0 1 0 3
## [58,] 0 1 1 0 0 0 8
## [59,] 1 1 1 0 0 0 6
## [60,] 0 1 5 20 30 1 9
## [61,] 0 1 4 10 30 1 9
## [62,] 0 1 4 0 6 0 12
## [63,] 0 1 2 0 7 0 11
## [64,] 0 1 2 15 0 1 11
## [65,] 0 1 2 0 2 1 3
## [66,] 0 1 5 30 30 0 7
## [67,] 0 1 1 0 0 1 6
## [68,] 0 1 2 0 0 1 10
## [69,] 0 1 2 0 7 0 8
## [70,] 0 1 2 0 0 0 3
## [71,] 0 1 2 0 7 1 4
## [72,] 0 1 2 2 0 0 5
## [73,] 0 1 5 30 30 1 9
## [74,] 0 1 1 0 0 1 7
## [75,] 0 1 3 0 0 0 13
## [76,] 0 1 2 0 0 0 10
## [77,] 0 1 2 7 0 0 5
## [78,] 0 1 2 0 0 1 8
## [79,] 0 1 4 0 10 0 3
## [80,] 0 1 2 0 0 0 11
## [81,] 0 1 1 0 0 0 7
## [82,] 0 1 2 0 21 0 7
## [83,] 0 1 4 0 30 0 6
## [84,] 0 1 2 0 0 0 12
## [85,] 0 1 1 0 0 1 8
## [86,] 0 1 2 2 1 0 2
## [87,] 0 1 2 0 0 0 4
## [88,] 0 1 5 25 20 0 7
## [89,] 0 0 4 15 30 0 9
## [90,] 0 0 2 0 0 1 12
## [91,] 0 1 3 0 0 0 10
## [92,] 0 1 2 0 0 1 7
## [93,] 0 1 4 0 30 1 12
## [94,] 0 1 1 0 0 1 8
## [95,] 0 1 5 0 20 0 7
## [96,] 0 1 1 0 0 0 13
## [97,] 0 1 2 0 3 0 9
## [98,] 0 1 1 0 1 0 10
## [99,] 0 1 3 2 0 0 10
## [100,] 1 0 2 2 0 0 5
## [101,] 0 1 4 14 14 0 13
## [102,] 0 1 3 20 4 0 11
## [103,] 0 1 1 0 0 1 4
## [104,] 0 1 3 30 30 0 8
## [105,] 0 1 3 2 0 1 5
## [106,] 0 1 3 0 30 0 12
## [107,] 0 1 1 0 0 0 10
## [108,] 0 1 3 0 2 1 6
## [109,] 0 1 2 0 0 1 9
## [110,] 0 1 2 0 30 1 9
## [111,] 0 1 2 0 0 0 10
## [112,] 0 1 2 0 0 1 6
## [113,] 0 1 3 0 0 0 10
## [114,] 0 1 2 0 0 0 11
## [115,] 0 1 4 0 30 0 8
## [116,] 0 1 1 0 0 1 5
## [117,] 0 1 2 0 4 0 6
## [118,] 0 1 3 2 0 1 4
## [119,] 0 1 2 0 0 1 10
## [120,] 0 1 1 0 1 0 3
## [121,] 0 1 4 20 4 1 6
## [122,] 0 0 2 30 0 1 1
## [123,] 0 1 2 5 5 0 6
## [124,] 1 1 3 3 10 0 9
## [125,] 0 1 2 0 0 1 2
## [126,] 0 1 2 0 0 1 8
## [127,] 0 1 1 0 0 0 13
## [128,] 0 1 3 1 0 0 8
## [129,] 0 1 1 0 0 0 11
## [130,] 0 1 2 0 2 1 10
## [131,] 0 1 5 30 25 0 8
## [132,] 0 1 3 2 0 1 5
## [133,] 0 1 1 0 2 1 9
## [134,] 0 1 3 0 0 1 10
## [135,] 0 1 1 0 0 0 9
## [136,] 0 1 3 0 30 1 12
## [137,] 0 1 2 0 0 0 9
## [138,] 0 1 3 0 0 1 12
## [139,] 0 1 1 0 0 1 7
## [140,] 0 0 3 0 0 1 7
## [141,] 0 1 5 28 20 0 11
## [142,] 0 1 3 0 0 1 8
## [143,] 0 0 1 1 2 1 7
## [144,] 0 1 4 0 7 1 13
## [145,] 0 1 2 2 1 0 7
## [146,] 0 0 1 0 0 0 3
## [147,] 0 1 3 0 0 1 11
## [148,] 0 1 2 1 0 0 8
## [149,] 0 1 2 0 0 1 10
## [150,] 1 1 3 0 0 1 1
## [151,] 0 1 3 0 8 1 13
## [152,] 0 1 5 5 30 1 10
## [153,] 0 1 1 4 4 0 9
## [154,] 0 1 1 0 0 0 9
## [155,] 0 1 2 2 0 0 9
## [156,] 0 1 2 30 2 0 4
## [157,] 0 1 3 1 1 0 10
## [158,] 0 1 3 0 0 1 10
## [159,] 0 1 1 0 0 1 8
## [160,] 0 1 3 1 1 0 9
## [161,] 0 1 2 3 0 0 8
## [162,] 0 1 3 0 0 1 11
## [163,] 0 1 1 0 0 0 6
## [164,] 1 1 5 10 30 0 7
## [165,] 0 1 2 0 0 0 4
## [166,] 0 1 3 0 0 1 4
## [167,] 0 1 2 0 0 1 10
## [168,] 0 1 2 0 0 0 5
## [169,] 0 0 1 0 0 1 7
## [170,] 0 1 3 0 0 0 7
## [171,] 0 1 3 14 14 1 10
## [172,] 0 1 3 0 0 1 9
## [173,] 0 1 2 0 0 0 6
## [174,] 0 1 1 0 0 1 9
## [175,] 0 1 1 0 0 0 10
## [176,] 0 1 2 0 0 0 12
## [177,] 0 1 2 7 1 1 5
## [178,] 0 1 3 0 3 0 8
## [179,] 0 1 2 2 0 0 8
## [180,] 0 1 3 2 3 0 2
## [181,] 0 1 5 30 7 0 11
## [182,] 0 1 2 3 2 0 4
## [183,] 0 1 3 3 0 0 8
## [184,] 0 1 3 10 4 1 11
## [185,] 0 0 4 0 0 1 9
## [186,] 0 1 3 0 0 1 12
## [187,] 0 0 4 0 0 0 4
## [188,] 1 1 4 15 30 1 5
## [189,] 1 1 1 0 0 0 7
## [190,] 0 1 5 2 30 1 7
## [191,] 0 1 1 0 7 1 11
## [192,] 0 1 3 10 2 0 9
## [193,] 0 1 3 0 0 1 6
## [194,] 0 1 4 30 15 0 6
## [195,] 0 0 2 0 5 0 5
## [196,] 0 1 3 0 1 1 10
## [197,] 1 1 3 0 10 0 10
## [198,] 0 1 2 0 0 0 6
## [199,] 0 1 1 0 0 0 12
## [200,] 0 1 5 10 30 0 8
## [201,] 0 1 2 3 0 0 7
## [202,] 0 1 1 0 0 1 1
## [203,] 0 1 2 0 0 0 13
## [204,] 0 1 3 30 0 0 8
## [205,] 0 1 2 5 0 1 9
## [206,] 0 1 3 20 0 0 9
## [207,] 0 1 3 5 0 0 8
## [208,] 0 1 1 0 0 1 9
## [209,] 0 1 2 0 0 0 13
## [210,] 0 1 2 30 2 0 8
## [211,] 0 1 3 14 22 0 10
## [212,] 0 1 3 0 23 1 9
## [213,] 0 1 4 5 10 0 7
## [214,] 0 1 2 0 0 1 11
## [215,] 0 1 4 0 0 1 12
## [216,] 1 1 2 0 0 0 10
## [217,] 0 1 3 14 0 0 9
## [218,] 0 1 2 0 5 1 4
## [219,] 0 1 3 0 0 0 8
## [220,] 0 0 2 0 0 0 7
## [221,] 0 1 1 0 0 1 5
## [222,] 0 1 4 0 4 0 9
## [223,] 0 1 1 0 0 0 12
## [224,] 0 1 2 2 0 1 8
## [225,] 0 1 1 0 0 0 3
## [226,] 0 1 2 0 0 0 1
## [227,] 0 1 1 0 0 1 13
## [228,] 0 1 2 0 0 1 12
## [229,] 0 1 2 0 0 1 12
## [230,] 0 1 2 28 0 0 1
## [231,] 0 0 4 15 10 1 13
## [232,] 0 1 1 0 0 0 13
## [233,] 0 1 3 0 0 0 9
## [234,] 0 1 3 0 0 0 3
## [235,] 1 1 2 0 3 0 8
## [236,] 0 1 2 0 0 0 6
## [237,] 0 1 1 4 0 0 4
## [238,] 0 1 3 0 0 0 7
## [239,] 0 1 3 30 30 1 7
## [240,] 0 1 3 30 0 0 7
## [241,] 0 1 2 0 0 0 7
## [242,] 0 1 4 2 0 1 7
## [243,] 1 1 2 0 0 1 4
## [244,] 0 1 1 0 0 0 5
## [245,] 0 1 2 0 0 1 9
## [246,] 0 1 2 5 0 1 13
## [247,] 0 1 2 0 0 1 7
## [248,] 0 1 2 0 1 1 10
## [249,] 0 1 3 0 0 1 10
## [250,] 0 1 5 30 30 0 9
## [251,] 0 1 3 0 0 1 13
## [252,] 0 1 4 0 0 0 11
## [253,] 0 1 2 0 0 1 7
## [254,] 0 1 1 0 0 0 13
## [255,] 0 1 5 0 0 1 10
## [256,] 0 1 4 0 0 1 12
## [257,] 0 1 4 20 20 0 8
## [258,] 0 1 4 0 7 0 9
## [259,] 0 1 2 0 0 0 12
## [260,] 0 1 3 0 5 0 13
## [261,] 0 1 3 0 30 0 11
## [262,] 0 1 5 0 30 0 10
## [263,] 0 1 3 0 0 0 11
## [264,] 0 1 3 0 0 0 10
## [265,] 0 1 1 2 0 0 7
## [266,] 0 1 2 4 2 1 7
## [267,] 0 1 2 0 0 1 8
## [268,] 0 1 1 0 0 0 13
## [269,] 0 1 4 2 30 0 9
## [270,] 0 1 3 0 0 1 13
## [271,] 1 1 3 0 0 1 11
## [272,] 0 1 4 30 10 0 11
## [273,] 0 1 5 15 30 0 9
## [274,] 0 0 4 0 3 0 3
## [275,] 0 1 2 0 0 1 9
## [276,] 0 1 3 0 0 1 7
## [277,] 0 1 4 0 10 0 7
## [278,] 0 1 3 0 0 1 12
## [279,] 0 1 2 0 0 0 8
## [280,] 1 1 3 0 0 1 8
## [281,] 0 0 4 2 3 0 8
## [282,] 0 1 2 0 0 0 12
## [283,] 0 1 5 3 30 0 8
## [284,] 0 1 3 0 0 0 11
## [285,] 0 1 3 14 14 0 9
## [286,] 0 1 3 0 2 1 10
## [287,] 0 1 4 2 2 0 8
## [288,] 0 1 3 0 5 0 10
## [289,] 0 1 2 0 0 1 10
## [290,] 0 1 4 0 30 0 12
## [291,] 0 1 4 0 15 1 10
## [292,] 0 1 3 0 0 0 13
## [293,] 0 1 4 0 2 0 11
## [294,] 0 1 4 15 15 0 12
## [295,] 0 1 4 0 15 0 11
## [296,] 0 1 3 4 2 0 9
## [297,] 0 1 4 0 0 0 12
## [298,] 0 1 3 0 0 0 10
## [299,] 0 1 5 15 30 1 8
## [300,] 0 1 2 0 0 1 12
## [301,] 0 1 3 0 28 1 8
## [302,] 0 1 1 0 0 1 6
## [303,] 0 1 4 0 0 0 10
## [304,] 0 1 2 0 0 0 13
## [305,] 0 1 2 0 14 0 13
## [306,] 0 1 4 0 0 1 11
## [307,] 0 1 3 0 0 1 10
## [308,] 0 1 4 0 0 1 10
## [309,] 0 1 3 0 0 0 11
## [310,] 0 1 4 10 15 0 10
## [311,] 0 1 4 14 2 0 10
## [312,] 0 1 2 0 0 1 9
## [313,] 0 1 2 0 0 0 11
## [314,] 0 1 4 3 0 0 11
## [315,] 0 1 4 0 5 0 12
## [316,] 0 1 3 0 0 0 8
## [317,] 0 1 5 10 15 0 6
## [318,] 0 1 4 0 14 0 9
## [319,] 0 1 3 7 0 0 13
## [320,] 0 1 3 0 0 1 13
## [321,] 0 1 3 0 2 0 13
## [322,] 0 1 4 10 15 0 8
## [323,] 0 1 5 0 27 0 7
## [324,] 0 1 5 15 30 1 8
## [325,] 0 1 4 3 6 1 12
## [326,] 0 1 3 0 0 0 10
## [327,] 0 1 3 0 0 0 9
## [328,] 0 1 1 0 0 1 10
## [329,] 0 1 4 0 0 1 6
## [330,] 0 1 4 0 5 1 8
## [331,] 0 1 5 20 20 1 11
## [332,] 0 1 4 5 15 0 11
## [333,] 0 1 3 0 0 0 13
## [334,] 0 1 4 16 8 0 4
## [335,] 0 1 4 0 10 1 10
## [336,] 0 1 4 0 2 0 8
## [337,] 0 1 3 0 10 0 9
## [338,] 0 1 3 0 0 0 13
## [339,] 0 1 3 0 7 0 10
## [340,] 0 1 4 3 30 1 10
## [341,] 0 1 4 0 0 0 8
## [342,] 0 1 3 0 0 0 10
## [343,] 0 1 5 0 30 0 9
## [344,] 0 1 4 0 0 0 9
## [345,] 0 0 4 2 0 0 9
## [346,] 0 1 2 2 2 1 10
## [347,] 0 1 4 4 0 0 11
## [348,] 0 0 3 10 15 0 10
## [349,] 0 1 5 25 30 1 10
## [350,] 1 1 4 2 6 1 9
## [351,] 0 1 4 0 14 1 8
## [352,] 0 1 5 3 5 0 10
## [353,] 0 1 3 20 1 0 10
## [354,] 0 1 2 0 7 1 10
## [355,] 0 0 3 5 0 0 9
## [356,] 1 1 2 0 0 0 10
## [357,] 0 1 4 3 30 0 8
## [358,] 0 1 3 0 3 1 10
## [359,] 0 1 3 5 30 1 11
## [360,] 0 1 4 0 0 0 9
## [361,] 0 1 3 0 0 0 10
## [362,] 0 1 5 7 30 0 8
## [363,] 0 1 2 0 0 0 10
## [364,] 0 1 4 0 0 1 12
## [365,] 0 1 2 0 0 0 10
## [366,] 0 1 3 0 10 1 12
## [367,] 0 1 4 0 15 0 8
## [368,] 0 1 3 0 3 0 9
## [369,] 0 1 4 0 0 1 12
## [370,] 0 1 2 0 0 1 10
## [371,] 0 1 3 0 0 0 11
## [372,] 0 1 2 0 0 0 12
## [373,] 0 1 2 0 0 1 11
## [374,] 0 1 2 0 0 0 12
## [375,] 0 1 4 15 10 1 9
## [376,] 0 1 3 0 0 1 11
## [377,] 0 1 3 30 0 1 10
## [378,] 0 0 2 0 0 0 9
## [379,] 0 0 2 2 0 0 9
## [380,] 0 1 3 0 7 1 13
## [381,] 0 1 4 30 0 1 9
## [382,] 0 1 3 30 10 0 11
## [383,] 0 1 5 30 20 0 9
## [384,] 0 1 5 10 15 0 7
## [385,] 0 1 4 0 30 0 10
## [386,] 0 1 4 15 12 0 10
## [387,] 0 1 3 0 0 0 9
## [388,] 0 1 3 0 0 1 10
## [389,] 0 1 3 0 0 1 13
## [390,] 0 1 3 30 3 0 9
## [391,] 0 1 3 0 0 0 10
## [392,] 0 1 3 0 0 0 8
## [393,] 0 1 5 0 30 1 13
## [394,] 0 1 3 0 1 0 11
## [395,] 0 1 1 3 0 0 12
## [396,] 0 1 2 0 0 1 11
## [397,] 0 1 3 0 2 0 9
## [398,] 0 1 5 30 30 0 12
## [399,] 0 1 3 10 0 0 13
## [400,] 0 1 5 30 30 1 11
## [401,] 0 1 3 0 0 0 11
## [402,] 0 1 3 0 0 0 8
## [403,] 0 1 2 0 5 0 10
## [404,] 0 1 4 0 3 0 11
## [405,] 0 1 3 1 0 1 9
## [406,] 0 1 4 0 0 0 9
## [407,] 0 1 3 0 0 0 11
## [408,] 1 1 3 0 30 1 10
## [409,] 0 1 4 0 4 0 12
## [410,] 0 1 3 0 5 1 10
## [411,] 0 1 3 0 2 0 12
## [412,] 0 0 3 0 0 0 5
## [413,] 0 1 4 0 4 0 10
## [414,] 0 1 5 10 30 0 12
## [415,] 0 1 3 15 0 1 10
## [416,] 0 1 3 30 10 1 9
## [417,] 0 1 3 0 0 0 8
## [418,] 0 1 5 10 4 0 7
## [419,] 0 1 3 0 0 1 12
## [420,] 0 1 3 0 0 0 11
## [421,] 0 0 4 30 0 0 9
## [422,] 0 1 3 15 0 0 7
## [423,] 0 1 2 0 15 0 12
## [424,] 0 1 4 4 30 1 11
## [425,] 0 1 2 1 0 0 11
## [426,] 0 1 3 0 10 1 10
## [427,] 0 1 2 0 0 1 12
## [428,] 0 1 3 0 2 1 10
## [429,] 0 1 2 0 7 0 6
## [430,] 0 1 3 0 0 1 10
## [431,] 0 1 2 0 0 1 10
## [432,] 0 1 3 0 0 1 10
## [433,] 0 1 4 10 10 0 12
## [434,] 0 1 5 0 30 1 13
## [435,] 0 1 5 2 2 0 11
## [436,] 0 1 5 0 30 0 9
## [437,] 0 1 2 0 0 0 7
## [438,] 0 1 4 0 0 1 9
## [439,] 0 1 5 30 30 0 7
## [440,] 0 1 3 0 4 0 10
## [441,] 0 1 1 0 0 1 11
## [442,] 0 1 5 0 30 1 11
## [443,] 0 1 4 0 2 0 11
## [444,] 0 1 3 0 4 1 11
## [445,] 0 1 3 1 14 0 12
## [446,] 0 1 3 6 0 0 10
## [447,] 0 1 3 0 5 0 11
## [448,] 0 1 4 0 30 0 11
## [449,] 0 1 3 0 5 0 11
## [450,] 0 1 5 0 0 0 10
## [451,] 0 1 3 14 10 0 7
## [452,] 0 1 3 0 0 1 6
## [453,] 0 1 4 0 10 0 10
## [454,] 0 1 3 3 0 0 8
## [455,] 0 1 4 0 21 0 11
## [456,] 0 1 2 15 0 1 13
## [457,] 0 1 5 0 15 0 10
## [458,] 0 1 4 0 7 0 10
## [459,] 0 1 4 0 0 1 10
## [460,] 0 1 5 20 20 0 7
## [461,] 0 1 4 0 0 1 11
## [462,] 0 1 1 5 0 0 4
## [463,] 0 1 4 0 30 1 13
## [464,] 0 1 5 3 30 0 10
## [465,] 0 1 3 0 0 0 10
## [466,] 0 1 5 0 10 0 7
## [467,] 0 1 4 3 2 0 11
## [468,] 0 1 4 0 0 0 9
## [469,] 0 1 4 15 0 0 11
## [470,] 0 1 3 0 0 0 12
## [471,] 0 1 3 0 0 1 8
## [472,] 0 1 3 0 0 0 7
## [473,] 0 1 3 0 0 1 8
## [474,] 0 1 3 7 5 0 9
## [475,] 0 1 4 0 0 1 6
## [476,] 0 1 2 0 2 0 10
## [477,] 0 1 3 0 0 0 10
## [478,] 0 1 4 0 16 0 8
## [479,] 0 0 5 30 30 0 7
## [480,] 0 1 2 0 0 0 13
## [481,] 0 1 4 5 10 0 13
## [482,] 0 1 5 15 0 0 10
## [483,] 0 1 3 0 0 1 10
## [484,] 0 1 2 0 0 1 11
## [485,] 0 1 4 0 10 1 11
## [486,] 0 1 5 0 30 0 8
## [487,] 0 1 4 0 14 1 13
## [488,] 0 1 5 0 15 0 10
## [489,] 1 1 2 0 5 1 10
## [490,] 0 1 5 0 30 1 8
## [491,] 0 1 4 10 0 0 8
## [492,] 0 1 4 5 10 0 8
## [493,] 0 1 5 0 6 0 11
## [494,] 0 1 2 0 0 0 11
## [495,] 0 1 2 0 0 1 10
## [496,] 0 1 3 7 2 1 11
## [497,] 0 1 3 2 0 0 5
## [498,] 0 1 3 15 0 1 13
## [499,] 0 1 5 0 30 0 12
## Education Income
## [1,] 6 8
## [2,] 6 8
## [3,] 6 8
## [4,] 6 8
## [5,] 5 8
## [6,] 4 7
## [7,] 5 6
## [8,] 4 3
## [9,] 6 8
## [10,] 4 4
## [11,] 4 6
## [12,] 6 8
## [13,] 6 8
## [14,] 4 6
## [15,] 5 1
## [16,] 4 6
## [17,] 5 7
## [18,] 6 7
## [19,] 6 8
## [20,] 5 5
## [21,] 6 8
## [22,] 5 8
## [23,] 6 8
## [24,] 4 6
## [25,] 4 3
## [26,] 5 8
## [27,] 6 7
## [28,] 4 6
## [29,] 5 7
## [30,] 5 8
## [31,] 5 1
## [32,] 5 3
## [33,] 4 7
## [34,] 5 2
## [35,] 5 6
## [36,] 4 6
## [37,] 6 8
## [38,] 6 6
## [39,] 5 8
## [40,] 5 8
## [41,] 5 8
## [42,] 6 8
## [43,] 6 2
## [44,] 4 8
## [45,] 6 8
## [46,] 5 4
## [47,] 5 8
## [48,] 5 6
## [49,] 5 8
## [50,] 6 6
## [51,] 4 7
## [52,] 5 6
## [53,] 5 6
## [54,] 6 8
## [55,] 6 7
## [56,] 6 7
## [57,] 6 8
## [58,] 4 8
## [59,] 6 8
## [60,] 4 5
## [61,] 6 8
## [62,] 3 4
## [63,] 6 5
## [64,] 6 7
## [65,] 6 8
## [66,] 3 3
## [67,] 5 8
## [68,] 6 8
## [69,] 5 6
## [70,] 6 7
## [71,] 6 8
## [72,] 6 8
## [73,] 4 1
## [74,] 5 6
## [75,] 4 3
## [76,] 5 2
## [77,] 5 6
## [78,] 5 7
## [79,] 5 4
## [80,] 5 4
## [81,] 6 8
## [82,] 5 8
## [83,] 5 1
## [84,] 4 7
## [85,] 6 8
## [86,] 6 8
## [87,] 6 8
## [88,] 4 3
## [89,] 5 6
## [90,] 6 5
## [91,] 4 5
## [92,] 5 8
## [93,] 5 4
## [94,] 6 7
## [95,] 6 1
## [96,] 6 4
## [97,] 4 6
## [98,] 6 8
## [99,] 5 6
## [100,] 4 4
## [101,] 5 7
## [102,] 6 6
## [103,] 6 7
## [104,] 3 1
## [105,] 4 8
## [106,] 4 5
## [107,] 4 7
## [108,] 6 8
## [109,] 6 8
## [110,] 4 6
## [111,] 5 8
## [112,] 4 5
## [113,] 5 5
## [114,] 6 5
## [115,] 5 6
## [116,] 6 7
## [117,] 4 8
## [118,] 4 6
## [119,] 6 8
## [120,] 4 8
## [121,] 4 4
## [122,] 5 8
## [123,] 5 6
## [124,] 5 8
## [125,] 6 7
## [126,] 6 8
## [127,] 4 3
## [128,] 6 8
## [129,] 6 8
## [130,] 6 7
## [131,] 3 1
## [132,] 6 8
## [133,] 6 8
## [134,] 4 5
## [135,] 6 8
## [136,] 6 7
## [137,] 5 7
## [138,] 3 6
## [139,] 5 8
## [140,] 6 8
## [141,] 3 4
## [142,] 5 7
## [143,] 4 4
## [144,] 4 4
## [145,] 5 8
## [146,] 6 7
## [147,] 6 8
## [148,] 5 5
## [149,] 4 5
## [150,] 6 7
## [151,] 6 7
## [152,] 4 8
## [153,] 6 7
## [154,] 6 8
## [155,] 5 5
## [156,] 6 7
## [157,] 5 5
## [158,] 5 8
## [159,] 6 1
## [160,] 4 7
## [161,] 6 8
## [162,] 6 8
## [163,] 6 8
## [164,] 4 4
## [165,] 4 7
## [166,] 6 8
## [167,] 6 8
## [168,] 5 1
## [169,] 2 4
## [170,] 6 8
## [171,] 4 5
## [172,] 5 8
## [173,] 6 8
## [174,] 6 8
## [175,] 5 6
## [176,] 5 7
## [177,] 5 8
## [178,] 5 8
## [179,] 4 8
## [180,] 5 6
## [181,] 4 4
## [182,] 5 6
## [183,] 6 7
## [184,] 6 8
## [185,] 4 2
## [186,] 4 7
## [187,] 4 5
## [188,] 6 8
## [189,] 5 8
## [190,] 5 4
## [191,] 6 8
## [192,] 5 2
## [193,] 6 6
## [194,] 4 2
## [195,] 6 7
## [196,] 6 8
## [197,] 4 5
## [198,] 4 6
## [199,] 5 7
## [200,] 5 2
## [201,] 6 8
## [202,] 5 2
## [203,] 3 3
## [204,] 5 4
## [205,] 6 7
## [206,] 6 8
## [207,] 6 8
## [208,] 6 6
## [209,] 5 2
## [210,] 6 8
## [211,] 6 1
## [212,] 5 8
## [213,] 5 6
## [214,] 6 1
## [215,] 6 6
## [216,] 6 8
## [217,] 5 8
## [218,] 6 8
## [219,] 6 6
## [220,] 4 7
## [221,] 5 7
## [222,] 3 3
## [223,] 5 4
## [224,] 6 8
## [225,] 4 6
## [226,] 5 6
## [227,] 4 5
## [228,] 4 4
## [229,] 4 7
## [230,] 5 4
## [231,] 4 7
## [232,] 4 3
## [233,] 5 3
## [234,] 3 6
## [235,] 6 8
## [236,] 6 8
## [237,] 4 7
## [238,] 6 8
## [239,] 5 8
## [240,] 5 8
## [241,] 6 8
## [242,] 4 5
## [243,] 5 8
## [244,] 6 8
## [245,] 6 8
## [246,] 6 7
## [247,] 4 6
## [248,] 6 8
## [249,] 6 8
## [250,] 5 1
## [251,] 6 8
## [252,] 4 6
## [253,] 5 6
## [254,] 5 4
## [255,] 6 5
## [256,] 2 4
## [257,] 4 7
## [258,] 5 4
## [259,] 3 3
## [260,] 4 4
## [261,] 4 2
## [262,] 4 5
## [263,] 4 4
## [264,] 3 2
## [265,] 5 3
## [266,] 6 8
## [267,] 5 8
## [268,] 2 2
## [269,] 6 8
## [270,] 5 6
## [271,] 5 7
## [272,] 5 2
## [273,] 2 3
## [274,] 5 3
## [275,] 6 7
## [276,] 4 5
## [277,] 6 7
## [278,] 4 6
## [279,] 6 5
## [280,] 5 8
## [281,] 4 7
## [282,] 5 4
## [283,] 5 6
## [284,] 6 5
## [285,] 6 5
## [286,] 3 5
## [287,] 4 8
## [288,] 5 6
## [289,] 5 6
## [290,] 5 3
## [291,] 5 8
## [292,] 6 7
## [293,] 6 5
## [294,] 4 4
## [295,] 5 2
## [296,] 5 6
## [297,] 4 1
## [298,] 5 4
## [299,] 5 6
## [300,] 6 7
## [301,] 4 8
## [302,] 5 7
## [303,] 6 7
## [304,] 5 6
## [305,] 4 5
## [306,] 3 8
## [307,] 6 8
## [308,] 5 8
## [309,] 5 5
## [310,] 6 5
## [311,] 4 6
## [312,] 5 8
## [313,] 6 7
## [314,] 4 4
## [315,] 3 1
## [316,] 6 8
## [317,] 3 1
## [318,] 4 4
## [319,] 4 5
## [320,] 5 4
## [321,] 6 7
## [322,] 3 3
## [323,] 4 1
## [324,] 4 2
## [325,] 2 2
## [326,] 4 3
## [327,] 4 6
## [328,] 3 2
## [329,] 5 3
## [330,] 4 6
## [331,] 4 2
## [332,] 3 1
## [333,] 5 2
## [334,] 5 2
## [335,] 4 1
## [336,] 4 4
## [337,] 6 8
## [338,] 6 1
## [339,] 2 3
## [340,] 4 4
## [341,] 5 1
## [342,] 4 3
## [343,] 5 5
## [344,] 4 2
## [345,] 6 6
## [346,] 6 4
## [347,] 4 1
## [348,] 3 1
## [349,] 4 7
## [350,] 4 5
## [351,] 4 1
## [352,] 4 1
## [353,] 5 5
## [354,] 6 7
## [355,] 5 3
## [356,] 6 8
## [357,] 4 3
## [358,] 5 8
## [359,] 5 4
## [360,] 3 5
## [361,] 5 4
## [362,] 3 3
## [363,] 6 6
## [364,] 5 7
## [365,] 4 4
## [366,] 6 2
## [367,] 5 5
## [368,] 4 2
## [369,] 6 6
## [370,] 6 8
## [371,] 4 7
## [372,] 5 3
## [373,] 4 8
## [374,] 6 5
## [375,] 4 6
## [376,] 6 8
## [377,] 4 6
## [378,] 5 8
## [379,] 4 4
## [380,] 4 7
## [381,] 5 7
## [382,] 6 8
## [383,] 1 1
## [384,] 4 1
## [385,] 3 1
## [386,] 4 3
## [387,] 4 7
## [388,] 2 2
## [389,] 4 5
## [390,] 5 4
## [391,] 4 2
## [392,] 6 8
## [393,] 3 3
## [394,] 5 6
## [395,] 4 4
## [396,] 4 3
## [397,] 6 8
## [398,] 5 6
## [399,] 5 6
## [400,] 2 3
## [401,] 5 5
## [402,] 4 3
## [403,] 4 1
## [404,] 4 6
## [405,] 6 8
## [406,] 5 3
## [407,] 4 4
## [408,] 5 6
## [409,] 2 1
## [410,] 6 8
## [411,] 5 5
## [412,] 6 1
## [413,] 6 3
## [414,] 3 2
## [415,] 6 6
## [416,] 6 3
## [417,] 5 5
## [418,] 6 3
## [419,] 4 4
## [420,] 6 6
## [421,] 3 2
## [422,] 4 3
## [423,] 5 2
## [424,] 6 8
## [425,] 6 5
## [426,] 6 8
## [427,] 6 8
## [428,] 5 6
## [429,] 6 8
## [430,] 6 6
## [431,] 6 6
## [432,] 5 5
## [433,] 4 2
## [434,] 4 5
## [435,] 6 7
## [436,] 6 7
## [437,] 5 8
## [438,] 5 5
## [439,] 5 7
## [440,] 4 3
## [441,] 4 7
## [442,] 4 6
## [443,] 5 4
## [444,] 6 7
## [445,] 6 5
## [446,] 3 3
## [447,] 6 5
## [448,] 4 5
## [449,] 6 8
## [450,] 3 1
## [451,] 4 1
## [452,] 6 5
## [453,] 4 2
## [454,] 5 8
## [455,] 3 6
## [456,] 6 3
## [457,] 3 3
## [458,] 5 5
## [459,] 4 7
## [460,] 2 5
## [461,] 4 6
## [462,] 4 4
## [463,] 5 6
## [464,] 5 6
## [465,] 4 3
## [466,] 4 3
## [467,] 6 5
## [468,] 4 1
## [469,] 3 2
## [470,] 4 2
## [471,] 5 8
## [472,] 5 5
## [473,] 6 7
## [474,] 5 5
## [475,] 3 5
## [476,] 4 7
## [477,] 4 4
## [478,] 4 3
## [479,] 4 1
## [480,] 6 3
## [481,] 3 2
## [482,] 4 3
## [483,] 6 7
## [484,] 6 7
## [485,] 6 6
## [486,] 4 7
## [487,] 6 5
## [488,] 5 5
## [489,] 4 7
## [490,] 5 4
## [491,] 5 3
## [492,] 3 4
## [493,] 5 7
## [494,] 4 5
## [495,] 5 6
## [496,] 4 3
## [497,] 6 7
## [498,] 2 3
## [499,] 4 2drop(scale(new_sparrow,center=center, scale=scale)%*%Diabetes_pca$rotation[,1])## [1] -0.606240531 0.352807562 -2.178113675 -0.926465857 -1.818475684
## [6] -2.163596044 -2.169569628 0.410018794 -2.255473061 -0.015428398
## [11] 0.823915461 -3.359160479 -1.935232397 1.177495858 -0.889377976
## [16] -0.912251229 -1.738441113 -2.320801387 -2.528846362 0.342525268
## [21] -3.015466346 1.038127484 -2.940616400 -1.644467931 0.791264060
## [26] -2.097172293 -0.474682328 0.961013814 -1.651639608 -1.632691189
## [31] 1.704135781 -1.361771076 -1.778087810 -0.036878893 -0.123794448
## [36] -1.195731733 -2.190642492 -1.870313226 -2.090087049 -2.171239633
## [41] -2.129855827 -2.523281797 -0.357933376 -1.104995565 -1.591538264
## [46] 0.434295880 -2.671945733 -2.091202644 -2.254899214 -0.878134388
## [51] -0.021011650 0.834590864 0.524582441 -2.470454763 -2.467441524
## [56] -1.987414713 -1.387549504 -1.390369653 -3.264509549 3.088994827
## [61] -0.143569338 2.047436690 -0.096600756 -1.630750928 -2.845029164
## [66] 3.242622839 -1.681017891 -0.694000679 -0.690127562 -2.228591931
## [71] -2.661473973 -1.781969331 3.730056691 -2.439695549 -0.178500718
## [76] 0.038640360 -1.734280525 -1.811395539 -0.588754215 -0.139242711
## [81] -3.057085303 -0.344622830 1.640178510 -1.411764499 -1.735237498
## [86] -2.857191161 -2.530563661 4.390366151 1.947730145 -0.816890241
## [91] 0.254945832 -2.390543199 2.885642134 -2.664593794 2.576103208
## [96] -1.808863748 -1.376807675 -2.353607923 -1.034724763 -1.268043388
## [101] 1.404555441 0.654684080 -3.026724937 4.161152579 -1.442872036
## [106] 1.784056713 -1.783712826 -1.948970227 -0.951160944 0.772646639
## [111] -1.709492881 -0.793878346 0.139798601 -0.779046200 -0.026950229
## [116] -3.116399073 -1.742698849 0.012364592 -1.725964768 -1.581609441
## [121] 0.147873526 -1.683501360 -1.628576805 -1.589753545 -2.854180917
## [126] -2.264444604 0.431575684 -0.742633888 -2.598843801 -1.944399388
## [131] 3.472329321 -2.249828647 -1.994339942 0.188427628 -2.803936962
## [136] 1.035595103 -1.671824636 -0.346170376 -2.557398366 -1.394396275
## [141] 2.583933566 -0.580435542 -0.849555175 0.899210334 -2.157228259
## [146] -3.086308797 -1.243519253 -0.701617729 0.317352103 -3.110998303
## [151] 0.078495165 1.357741720 -1.688823044 -2.611716246 -0.545398472
## [156] -1.454176234 0.484732685 -0.803888282 -1.751222071 -0.849667858
## [161] -2.295745564 -1.315602022 -2.967411166 2.195659364 -1.799640531
## [166] -2.267499864 -2.438326584 -0.546921486 0.102371470 -2.061535045
## [171] 0.883143650 -0.356799882 -1.755012468 -2.894482756 -0.923883713
## [176] -1.478856550 -1.805528690 -0.422256543 -1.020058776 -1.556605309
## [181] 3.297043938 -1.788449506 -0.756377615 -0.570563606 -0.257019080
## [186] -0.271171925 -0.763464412 -0.883916741 -3.017321856 0.611986059
## [191] -2.086475486 2.428000404 -0.520185212 2.207916216 -2.326459486
## [196] -0.521215600 0.607865029 -1.291605708 -1.051226094 3.049655649
## [201] -1.464700168 -1.493422839 0.508442506 0.553542092 -1.393643797
## [206] -1.269006440 -1.666597493 -2.541970336 -0.008667450 -0.733884653
## [211] 0.608717580 -0.062193723 0.572044587 0.982273549 0.882623294
## [216] -2.117010028 -0.256692316 -2.732321561 -1.846751940 -1.043470353
## [221] -2.382000805 1.144857550 -1.531959612 -1.845478412 -2.067526697
## [226] -2.418598931 -0.822216458 -0.870883801 -0.576904708 -1.163941312
## [231] 3.038055583 0.383520505 -0.444997077 -0.956829210 -1.807362784
## [236] -2.378991971 -2.274945670 -1.970890979 0.912621163 0.831456232
## [241] -2.631392943 0.627074325 -2.755005427 -2.883203322 -1.447274453
## [246] -1.679519748 -1.112149620 -1.013524437 -0.991118281 4.428265216
## [251] -1.614350416 0.880246262 -1.875303944 -0.714789462 2.334774276
## [256] 2.552811445 1.944551322 1.445789756 1.094230151 1.237333632
## [261] 2.529184930 2.569047517 0.190814865 0.790737539 1.110053840
## [266] -1.119104859 -1.357124742 0.616068372 1.310460566 0.458935894
## [271] -0.996924504 2.140230215 4.457069978 -0.666539959 -1.541869231
## [276] -0.143239703 -0.501110874 -0.107107881 -0.561078551 -1.396723892
## [281] 0.646480535 -0.439698862 1.370494088 0.695394229 0.165762902
## [286] -0.147980407 0.734673295 0.438006650 -0.829013043 2.833537970
## [291] 0.201216164 0.107365207 0.004486861 3.839594442 2.409949802
## [296] -0.129783177 2.705561285 -0.122989304 2.486750398 -1.263723371
## [301] 0.247663844 -1.615147588 0.788147811 -0.145496013 0.374167504
## [306] 0.216686851 -0.970090272 1.011360802 0.335455960 0.779038416
## [311] 1.239550895 -0.619765407 -1.085765196 1.252051299 1.576130020
## [316] -1.724178861 2.928234792 2.337052664 1.186018770 1.395664161
## [321] 0.570207924 2.681061281 3.124464720 3.293343026 2.483991926
## [326] 0.610662789 0.249460741 1.020133169 0.846768298 0.131310551
## [331] 4.323580385 3.365603536 1.081331546 1.392871180 1.558711110
## [336] 1.358820498 -1.478176356 -0.560862141 1.211323509 3.188982107
## [341] 0.830613036 1.012927695 2.020433744 2.407338547 0.475127038
## [346] -0.213785629 1.558734780 4.227030922 2.656334459 0.726024403
## [351] 3.332928179 2.627044602 0.244983452 -1.188635994 0.440089868
## [356] -2.380575687 2.481286327 0.590847610 0.859674835 1.098708285
## [361] 0.304041016 3.688052904 -1.093890375 1.162007947 0.716305849
## [366] 0.945557309 0.936810306 0.756864170 1.187075542 -0.958304164
## [371] 0.338366666 0.436905369 -1.600906161 -0.606678606 1.522220793
## [376] -0.616819649 0.769372279 -2.022349370 -0.332153197 0.343466327
## [381] 1.959969115 1.096291828 4.788824260 2.953241175 3.953080801
## [386] 1.596020067 -0.507005542 1.767976688 0.037281413 0.842170869
## [391] 0.843783436 -1.934960875 3.069766792 -0.841372906 -1.063573636
## [396] 0.049601141 -1.665456349 4.322602450 1.398007661 4.437649222
## [401] -0.352878266 1.725305338 1.092839134 0.394293776 -1.893315001
## [406] 0.244260942 0.262897634 1.370436207 2.106911367 -1.102330387
## [411] 0.436767359 0.343019654 1.915190881 2.995598088 -0.908553129
## [416] 1.048686817 -1.182920861 0.732075729 0.896131733 -0.016016455
## [421] 1.985146731 1.342184972 0.582869712 1.003746316 -0.170756689
## [426] 0.003398704 -0.806248037 0.172106286 -2.053476354 -0.353274366
## [431] -1.778921791 0.617449086 1.530034315 3.178031465 0.921401559
## [436] 0.645929806 -1.513291067 0.132122691 2.530822040 0.562399002
## [441] -1.123704946 2.899339955 1.447296233 1.327063713 2.165907466
## [446] 1.044641541 1.202873706 1.490951035 -0.108700619 1.683964972
## [451] 1.931366277 -1.473569098 1.364876540 -0.565196904 3.459769850
## [456] -0.059530828 3.684124970 0.477071264 0.867484119 2.690776727
## [461] 1.651209677 -0.418698730 2.515538347 2.432114603 0.415237535
## [466] 1.793212788 0.328231726 1.331171631 2.697729195 0.523474164
## [471] -0.214088712 -0.450705924 0.096310378 0.803328451 0.892743466
## [476] 0.356060813 1.045887851 1.635114048 3.384171406 -1.291011741
## [481] 3.533787560 2.879625120 -0.850903456 -1.318214773 0.361009385
## [486] 2.419910959 0.848012547 1.928009671 -0.563124316 2.466669285
## [491] 1.689760534 1.383002288 2.310823507 -1.017633122 0.534075967
## [496] 1.802404767 -1.519954938 1.835909217 3.899033820predict(Diabetes_pca)[,1]## [1] -0.606240531 0.352807562 -2.178113675 -0.926465857 -1.818475684
## [6] -2.163596044 -2.169569628 0.410018794 -2.255473061 -0.015428398
## [11] 0.823915461 -3.359160479 -1.935232397 1.177495858 -0.889377976
## [16] -0.912251229 -1.738441113 -2.320801387 -2.528846362 0.342525268
## [21] -3.015466346 1.038127484 -2.940616400 -1.644467931 0.791264060
## [26] -2.097172293 -0.474682328 0.961013814 -1.651639608 -1.632691189
## [31] 1.704135781 -1.361771076 -1.778087810 -0.036878893 -0.123794448
## [36] -1.195731733 -2.190642492 -1.870313226 -2.090087049 -2.171239633
## [41] -2.129855827 -2.523281797 -0.357933376 -1.104995565 -1.591538264
## [46] 0.434295880 -2.671945733 -2.091202644 -2.254899214 -0.878134388
## [51] -0.021011650 0.834590864 0.524582441 -2.470454763 -2.467441524
## [56] -1.987414713 -1.387549504 -1.390369653 -3.264509549 3.088994827
## [61] -0.143569338 2.047436690 -0.096600756 -1.630750928 -2.845029164
## [66] 3.242622839 -1.681017891 -0.694000679 -0.690127562 -2.228591931
## [71] -2.661473973 -1.781969331 3.730056691 -2.439695549 -0.178500718
## [76] 0.038640360 -1.734280525 -1.811395539 -0.588754215 -0.139242711
## [81] -3.057085303 -0.344622830 1.640178510 -1.411764499 -1.735237498
## [86] -2.857191161 -2.530563661 4.390366151 1.947730145 -0.816890241
## [91] 0.254945832 -2.390543199 2.885642134 -2.664593794 2.576103208
## [96] -1.808863748 -1.376807675 -2.353607923 -1.034724763 -1.268043388
## [101] 1.404555441 0.654684080 -3.026724937 4.161152579 -1.442872036
## [106] 1.784056713 -1.783712826 -1.948970227 -0.951160944 0.772646639
## [111] -1.709492881 -0.793878346 0.139798601 -0.779046200 -0.026950229
## [116] -3.116399073 -1.742698849 0.012364592 -1.725964768 -1.581609441
## [121] 0.147873526 -1.683501360 -1.628576805 -1.589753545 -2.854180917
## [126] -2.264444604 0.431575684 -0.742633888 -2.598843801 -1.944399388
## [131] 3.472329321 -2.249828647 -1.994339942 0.188427628 -2.803936962
## [136] 1.035595103 -1.671824636 -0.346170376 -2.557398366 -1.394396275
## [141] 2.583933566 -0.580435542 -0.849555175 0.899210334 -2.157228259
## [146] -3.086308797 -1.243519253 -0.701617729 0.317352103 -3.110998303
## [151] 0.078495165 1.357741720 -1.688823044 -2.611716246 -0.545398472
## [156] -1.454176234 0.484732685 -0.803888282 -1.751222071 -0.849667858
## [161] -2.295745564 -1.315602022 -2.967411166 2.195659364 -1.799640531
## [166] -2.267499864 -2.438326584 -0.546921486 0.102371470 -2.061535045
## [171] 0.883143650 -0.356799882 -1.755012468 -2.894482756 -0.923883713
## [176] -1.478856550 -1.805528690 -0.422256543 -1.020058776 -1.556605309
## [181] 3.297043938 -1.788449506 -0.756377615 -0.570563606 -0.257019080
## [186] -0.271171925 -0.763464412 -0.883916741 -3.017321856 0.611986059
## [191] -2.086475486 2.428000404 -0.520185212 2.207916216 -2.326459486
## [196] -0.521215600 0.607865029 -1.291605708 -1.051226094 3.049655649
## [201] -1.464700168 -1.493422839 0.508442506 0.553542092 -1.393643797
## [206] -1.269006440 -1.666597493 -2.541970336 -0.008667450 -0.733884653
## [211] 0.608717580 -0.062193723 0.572044587 0.982273549 0.882623294
## [216] -2.117010028 -0.256692316 -2.732321561 -1.846751940 -1.043470353
## [221] -2.382000805 1.144857550 -1.531959612 -1.845478412 -2.067526697
## [226] -2.418598931 -0.822216458 -0.870883801 -0.576904708 -1.163941312
## [231] 3.038055583 0.383520505 -0.444997077 -0.956829210 -1.807362784
## [236] -2.378991971 -2.274945670 -1.970890979 0.912621163 0.831456232
## [241] -2.631392943 0.627074325 -2.755005427 -2.883203322 -1.447274453
## [246] -1.679519748 -1.112149620 -1.013524437 -0.991118281 4.428265216
## [251] -1.614350416 0.880246262 -1.875303944 -0.714789462 2.334774276
## [256] 2.552811445 1.944551322 1.445789756 1.094230151 1.237333632
## [261] 2.529184930 2.569047517 0.190814865 0.790737539 1.110053840
## [266] -1.119104859 -1.357124742 0.616068372 1.310460566 0.458935894
## [271] -0.996924504 2.140230215 4.457069978 -0.666539959 -1.541869231
## [276] -0.143239703 -0.501110874 -0.107107881 -0.561078551 -1.396723892
## [281] 0.646480535 -0.439698862 1.370494088 0.695394229 0.165762902
## [286] -0.147980407 0.734673295 0.438006650 -0.829013043 2.833537970
## [291] 0.201216164 0.107365207 0.004486861 3.839594442 2.409949802
## [296] -0.129783177 2.705561285 -0.122989304 2.486750398 -1.263723371
## [301] 0.247663844 -1.615147588 0.788147811 -0.145496013 0.374167504
## [306] 0.216686851 -0.970090272 1.011360802 0.335455960 0.779038416
## [311] 1.239550895 -0.619765407 -1.085765196 1.252051299 1.576130020
## [316] -1.724178861 2.928234792 2.337052664 1.186018770 1.395664161
## [321] 0.570207924 2.681061281 3.124464720 3.293343026 2.483991926
## [326] 0.610662789 0.249460741 1.020133169 0.846768298 0.131310551
## [331] 4.323580385 3.365603536 1.081331546 1.392871180 1.558711110
## [336] 1.358820498 -1.478176356 -0.560862141 1.211323509 3.188982107
## [341] 0.830613036 1.012927695 2.020433744 2.407338547 0.475127038
## [346] -0.213785629 1.558734780 4.227030922 2.656334459 0.726024403
## [351] 3.332928179 2.627044602 0.244983452 -1.188635994 0.440089868
## [356] -2.380575687 2.481286327 0.590847610 0.859674835 1.098708285
## [361] 0.304041016 3.688052904 -1.093890375 1.162007947 0.716305849
## [366] 0.945557309 0.936810306 0.756864170 1.187075542 -0.958304164
## [371] 0.338366666 0.436905369 -1.600906161 -0.606678606 1.522220793
## [376] -0.616819649 0.769372279 -2.022349370 -0.332153197 0.343466327
## [381] 1.959969115 1.096291828 4.788824260 2.953241175 3.953080801
## [386] 1.596020067 -0.507005542 1.767976688 0.037281413 0.842170869
## [391] 0.843783436 -1.934960875 3.069766792 -0.841372906 -1.063573636
## [396] 0.049601141 -1.665456349 4.322602450 1.398007661 4.437649222
## [401] -0.352878266 1.725305338 1.092839134 0.394293776 -1.893315001
## [406] 0.244260942 0.262897634 1.370436207 2.106911367 -1.102330387
## [411] 0.436767359 0.343019654 1.915190881 2.995598088 -0.908553129
## [416] 1.048686817 -1.182920861 0.732075729 0.896131733 -0.016016455
## [421] 1.985146731 1.342184972 0.582869712 1.003746316 -0.170756689
## [426] 0.003398704 -0.806248037 0.172106286 -2.053476354 -0.353274366
## [431] -1.778921791 0.617449086 1.530034315 3.178031465 0.921401559
## [436] 0.645929806 -1.513291067 0.132122691 2.530822040 0.562399002
## [441] -1.123704946 2.899339955 1.447296233 1.327063713 2.165907466
## [446] 1.044641541 1.202873706 1.490951035 -0.108700619 1.683964972
## [451] 1.931366277 -1.473569098 1.364876540 -0.565196904 3.459769850
## [456] -0.059530828 3.684124970 0.477071264 0.867484119 2.690776727
## [461] 1.651209677 -0.418698730 2.515538347 2.432114603 0.415237535
## [466] 1.793212788 0.328231726 1.331171631 2.697729195 0.523474164
## [471] -0.214088712 -0.450705924 0.096310378 0.803328451 0.892743466
## [476] 0.356060813 1.045887851 1.635114048 3.384171406 -1.291011741
## [481] 3.533787560 2.879625120 -0.850903456 -1.318214773 0.361009385
## [486] 2.419910959 0.848012547 1.928009671 -0.563124316 2.466669285
## [491] 1.689760534 1.383002288 2.310823507 -1.017633122 0.534075967
## [496] 1.802404767 -1.519954938 1.835909217 3.899033820#The aboved two gives us the same thing. predict is a good function to know.
Diabetes$Diabetes_binary <- as.factor(Diabetes$Diabetes_binary)
out <- sapply(1:15, function(i){plot(Diabetes$Diabetes_binary,Diabetes_pca$x[,i],xlab=paste("PC",i,sep=""),ylab="Diabetes_binary")})
pairs(Diabetes_pca$x[,1:15], ylim = c(-6,4),xlim = c(-6,4),panel=function(x,y,...){text(x,y,Diabetes$Diabetes_binary)})
# Better Ways to Visualize
library(factoextra)## Warning: package 'factoextra' was built under R version 4.2.2## Loading required package: ggplot2## Warning: package 'ggplot2' was built under R version 4.2.2## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
library(FactoMineR)## Warning: package 'FactoMineR' was built under R version 4.2.2library(ggfortify)## Warning: package 'ggfortify' was built under R version 4.2.2library(psych)## Warning: package 'psych' was built under R version 4.2.2##
## Attaching package: 'psych'
##
## The following objects are masked from 'package:ggplot2':
##
## %+%, alphalibrary(corrplot)## Warning: package 'corrplot' was built under R version 4.2.2## corrplot 0.92 loadedlibrary(devtools)## Warning: package 'devtools' was built under R version 4.2.2## Loading required package: usethis## Warning: package 'usethis' was built under R version 4.2.2# Correlation
pairs.panels(Diabetes[,-1],
gap = 0,
bg = c("red", "blue")[Diabetes$Diabetes_binary],
pch=21)
pairs.panels(Diabetes_pca$x,
gap=0,
bg = c("red", "blue")[Diabetes$Diabetes_binary],
pch=21)
fviz_eig(Diabetes_pca, addlabels = TRUE)
fviz_pca_var(Diabetes_pca,col.var = "cos2",
gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"),
repel = TRUE)
fviz_pca_ind(Diabetes_pca, col.ind = "cos2",
gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"),
repel = TRUE)
biplot(Diabetes_pca)
autoplot(Diabetes_pca,
data = Diabetes[,-1],
loadings = TRUE,
labels = Diabetes$Diabetes_binary)
# Different PCA Method.
res.pca <- PCA(Diabetes[,-1], graph = FALSE)
print(res.pca)## **Results for the Principal Component Analysis (PCA)**
## The analysis was performed on 499 individuals, described by 15 variables
## *The results are available in the following objects:
##
## name description
## 1 "$eig" "eigenvalues"
## 2 "$var" "results for the variables"
## 3 "$var$coord" "coord. for the variables"
## 4 "$var$cor" "correlations variables - dimensions"
## 5 "$var$cos2" "cos2 for the variables"
## 6 "$var$contrib" "contributions of the variables"
## 7 "$ind" "results for the individuals"
## 8 "$ind$coord" "coord. for the individuals"
## 9 "$ind$cos2" "cos2 for the individuals"
## 10 "$ind$contrib" "contributions of the individuals"
## 11 "$call" "summary statistics"
## 12 "$call$centre" "mean of the variables"
## 13 "$call$ecart.type" "standard error of the variables"
## 14 "$call$row.w" "weights for the individuals"
## 15 "$call$col.w" "weights for the variables"# Visualize and Interpret PCA using these functions
#get_eigenvalue(res.pca): Extract the eigenvalues/variances of principal components
#fviz_eig(res.pca): Visualize the eigenvalues
#get_pca_ind(res.pca), get_pca_var(res.pca): Extract the results for individuals and variables, respectively.
#fviz_pca_ind(res.pca), fviz_pca_var(res.pca): Visualize the results individuals and variables, respectively.
#fviz_pca_biplot(res.pca): Make a biplot of individuals and variables.
eig.val <- get_eigenvalue(res.pca)
eig.val## eigenvalue variance.percent cumulative.variance.percent
## Dim.1 3.1141387 20.760925 20.76092
## Dim.2 1.5726732 10.484488 31.24541
## Dim.3 1.2424327 8.282884 39.52830
## Dim.4 1.1566511 7.711007 47.23930
## Dim.5 1.0381229 6.920819 54.16012
## Dim.6 1.0188088 6.792059 60.95218
## Dim.7 0.9635902 6.423934 67.37612
## Dim.8 0.8440998 5.627332 73.00345
## Dim.9 0.8119361 5.412908 78.41636
## Dim.10 0.6981272 4.654181 83.07054
## Dim.11 0.6515293 4.343529 87.41407
## Dim.12 0.5708524 3.805682 91.21975
## Dim.13 0.5189659 3.459773 94.67952
## Dim.14 0.4408837 2.939224 97.61875
## Dim.15 0.3571881 2.381254 100.00000fviz_eig(res.pca, addlabels = TRUE, ylim = c(0, 50))
var <- get_pca_var(res.pca)
#var$coord: coordinates of variables to create a scatter plot
#var$cos2: represents the quality of representation for variables on the factor map. It’s calculated as the squared coordinates: var.cos2 = var.coord * var.coord.
#var$contrib: contains the contributions (in percentage) of the variables to the principal components.
#The contribution of a variable (var) to a given principal component is (in percentage) : (var.cos2 * 100) / (total cos2 of the component).
var## Principal Component Analysis Results for variables
## ===================================================
## Name Description
## 1 "$coord" "Coordinates for the variables"
## 2 "$cor" "Correlations between variables and dimensions"
## 3 "$cos2" "Cos2 for the variables"
## 4 "$contrib" "contributions of the variables"# Coordinates
head(var$coord)## Dim.1 Dim.2 Dim.3 Dim.4
## HighBP 0.5755530 0.30900012 -0.14828986 -0.28048927
## BMI 0.2958101 -0.12771310 0.04592791 -0.71500621
## Smoker 0.1647058 0.43916037 0.32255772 0.05623972
## Stroke 0.3738372 0.20346123 -0.15231841 0.39872206
## HeartDiseaseorAttack 0.4219157 0.39712076 0.01312907 0.31413022
## PhysActivity -0.5136760 -0.07225694 -0.03747418 0.29537828
## Dim.5
## HighBP 0.008426104
## BMI 0.072782007
## Smoker -0.560488919
## Stroke 0.409286731
## HeartDiseaseorAttack 0.198817602
## PhysActivity -0.348771679# Cos2: quality on the factore map
head(var$cos2)## Dim.1 Dim.2 Dim.3 Dim.4
## HighBP 0.33126127 0.095481075 0.0219898831 0.078674229
## BMI 0.08750359 0.016310635 0.0021093725 0.511233874
## Smoker 0.02712799 0.192861831 0.1040434852 0.003162906
## Stroke 0.13975422 0.041396473 0.0232008985 0.158979278
## HeartDiseaseorAttack 0.17801287 0.157704895 0.0001723724 0.098677798
## PhysActivity 0.26386303 0.005221066 0.0014043141 0.087248330
## Dim.5
## HighBP 7.099923e-05
## BMI 5.297221e-03
## Smoker 3.141478e-01
## Stroke 1.675156e-01
## HeartDiseaseorAttack 3.952844e-02
## PhysActivity 1.216417e-01# Contributions to the principal components
head(var$contrib)## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## HighBP 10.6373319 6.0712596 1.76990544 6.8018983 0.006839193
## BMI 2.8098810 1.0371280 0.16977761 44.1994902 0.510269131
## Smoker 0.8711234 12.2633123 8.37417503 0.2734538 30.261141145
## Stroke 4.4877326 2.6322361 1.86737675 13.7447916 16.136396943
## HeartDiseaseorAttack 5.7162794 10.0278233 0.01387378 8.5313368 3.807684023
## PhysActivity 8.4730659 0.3319867 0.11302939 7.5431851 11.717464965#The plot Below is also known as variable correlation plots. It shows the relationships between all variables. It can be interpreted as follow:
#Positively correlated variables are grouped together.
#Negatively correlated variables are positioned on opposite sides of the plot origin (opposed quadrants).
#The distance between variables and the origin measures the quality of the variables on the factor map.
#Variables that are away from the origin are well represented on the factor map.
# Correlation circle
fviz_pca_var(res.pca, col.var = "black")
# Quality of representation
corrplot(var$cos2, is.corr=FALSE)
# Total cos2 of variables on Dim.1 and Dim.2
#A high cos2 indicates a good representation of the variable on the principal component.
#In this case the variable is positioned close to the circumference of the correlation circle.
#A low cos2 indicates that the variable is not perfectly represented by the PCs.
#In this case the variable is close to the center of the circle.
fviz_cos2(res.pca, choice = "var", axes = 1:2)
fviz_pca_var(res.pca, col.var = "cos2",
gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
repel = TRUE # Avoid text overlapping
)
# Change the transparency by cos2 values
fviz_pca_var(res.pca, alpha.var = "cos2")
corrplot(var$contrib, is.corr=FALSE)
# Contributions of variables to PC1
fviz_contrib(res.pca, choice = "var", axes = 1, top = 10)
# Contributions of variables to PC2
fviz_contrib(res.pca, choice = "var", axes = 2, top = 10)
fviz_pca_var(res.pca, col.var = "contrib",
gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07")
)
fviz_pca_var(res.pca, alpha.var = "contrib")
fviz_pca_ind(res.pca,
geom.ind = "point", # show points only (nbut not "text")
col.ind = Diabetes$Diabetes_binary, # color by groups
palette = c("#00AFBB", "#E7B800", "#FC4E07"),
addEllipses = TRUE, # Concentration ellipses
legend.title = "Groups"
)
# Description of PC
res.desc <- dimdesc(res.pca, axes = c(1,2,3,4,5), proba = 0.05)
# Description of dimension 1
res.desc$Dim.1##
## Link between the variable and the continuous variables (R-square)
## =================================================================================
## correlation p.value
## GenHlth 0.7772239 4.663542e-102
## PhysHlth 0.6164081 1.509228e-53
## HighBP 0.5755530 2.333203e-45
## HeartDiseaseorAttack 0.4219157 5.866034e-23
## MentHlth 0.4127509 5.989292e-22
## Age 0.3751377 4.032960e-18
## Stroke 0.3738372 5.362449e-18
## BMI 0.2958101 1.553562e-11
## Smoker 0.1647058 2.196378e-04
## Sex -0.1407834 1.617727e-03
## HvyAlcoholConsump -0.1593234 3.529992e-04
## PhysActivity -0.5136760 6.021143e-35
## Education -0.5654041 1.691621e-43
## Income -0.6530852 5.359940e-62res.desc$Dim.2##
## Link between the variable and the continuous variables (R-square)
## =================================================================================
## correlation p.value
## Age 0.5653396 1.737492e-43
## Sex 0.5439062 9.188140e-40
## Smoker 0.4391604 6.079956e-25
## AnyHealthcare 0.4129574 5.688153e-22
## HeartDiseaseorAttack 0.3971208 2.678940e-20
## HighBP 0.3090001 1.680681e-12
## Income 0.2776844 2.754566e-10
## Education 0.2338630 1.260791e-07
## Stroke 0.2034612 4.614533e-06
## GenHlth -0.1227916 6.023908e-03
## BMI -0.1277131 4.270609e-03
## PhysHlth -0.1398789 1.734811e-03
## MentHlth -0.3335641 1.965986e-14res.desc$Dim.3##
## Link between the variable and the continuous variables (R-square)
## =================================================================================
## correlation p.value
## Sex 0.4821564 2.056150e-30
## PhysHlth 0.4644645 4.555771e-28
## MentHlth 0.4242476 3.210924e-23
## Income 0.3446190 2.320598e-15
## Smoker 0.3225577 1.517195e-13
## HvyAlcoholConsump 0.2703860 8.275958e-10
## GenHlth 0.2530448 9.927377e-09
## Education 0.2154367 1.188306e-06
## HighBP -0.1482899 8.917480e-04
## Stroke -0.1523184 6.402997e-04
## Age -0.3977122 2.328550e-20res.desc$Dim.4##
## Link between the variable and the continuous variables (R-square)
## =================================================================================
## correlation p.value
## Stroke 0.39872206 1.831676e-20
## MentHlth 0.32427278 1.109456e-13
## HeartDiseaseorAttack 0.31413022 6.863008e-13
## PhysActivity 0.29537828 1.667717e-11
## HvyAlcoholConsump 0.17354802 9.753072e-05
## Education -0.09547993 3.297523e-02
## Sex -0.24395677 3.399178e-08
## HighBP -0.28048927 1.789189e-10
## BMI -0.71500621 2.754411e-79res.desc$Dim.5##
## Link between the variable and the continuous variables (R-square)
## =================================================================================
## correlation p.value
## Stroke 0.40928673 1.414983e-21
## Education 0.38783296 2.333936e-19
## HvyAlcoholConsump 0.28843821 5.128811e-11
## Income 0.25849440 4.636265e-09
## HeartDiseaseorAttack 0.19881760 7.646138e-06
## GenHlth 0.11645516 9.220954e-03
## PhysHlth 0.11500141 1.013967e-02
## Sex -0.09799224 2.861420e-02
## AnyHealthcare -0.13150990 3.249084e-03
## MentHlth -0.18585149 2.945401e-05
## PhysActivity -0.34877168 1.017071e-15
## Smoker -0.56048892 1.277557e-42# Graph of Indiviuals
ind <- get_pca_ind(res.pca)
ind## Principal Component Analysis Results for individuals
## ===================================================
## Name Description
## 1 "$coord" "Coordinates for the individuals"
## 2 "$cos2" "Cos2 for the individuals"
## 3 "$contrib" "contributions of the individuals"## Principal Component Analysis Results for individuals
## ===================================================
## Name Description
## 1 "$coord" "Coordinates for the individuals"
## 2 "$cos2" "Cos2 for the individuals"
## 3 "$contrib" "contributions of the individuals"
#To get access to the different components, use this:
# Coordinates of individuals
head(ind$coord)## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## 1 -0.6068489 -0.39857709 2.394359233 -0.2385498 0.8500793
## 2 0.3531616 2.83319337 0.002295706 0.3255218 1.5447762
## 3 -2.1802994 1.16071488 0.002064581 0.1843823 0.4073325
## 4 -0.9273956 1.91480913 0.678767991 -0.5745436 -0.5152554
## 5 -1.8203005 -0.05001671 -0.037410804 0.3767800 -0.7849493
## 6 -2.1657672 -3.78059007 0.375230671 1.2311369 0.2459153# Quality of individuals
head(ind$cos2)## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## 1 0.022870492 0.0098659528 3.560352e-01 0.003534049 0.044877969
## 2 0.006138903 0.3950901968 2.594039e-07 0.005215597 0.117455937
## 3 0.366559457 0.1038874881 3.286821e-07 0.002621505 0.012794118
## 4 0.112682991 0.4803737947 6.036303e-02 0.043248830 0.034783517
## 5 0.486001354 0.0003669286 2.052794e-04 0.020822216 0.090372132
## 6 0.127987345 0.3899982400 3.841848e-03 0.041357679 0.001650116# Contributions of individuals
head(ind$contrib)## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## 1 0.023698597 0.0202435010 9.247093e-01 0.009859509 0.13949850
## 2 0.008026172 1.0228533942 8.500788e-07 0.018359352 0.46066143
## 3 0.305910080 0.1716769779 6.875281e-07 0.005890275 0.03202941
## 4 0.055346676 0.4672097933 7.431377e-02 0.057193034 0.05125023
## 5 0.213229702 0.0003187802 2.257463e-04 0.024596469 0.11894165
## 6 0.301845747 1.8212943259 2.271032e-02 0.262609105 0.01167406fviz_pca_ind(res.pca)
fviz_pca_ind(res.pca, col.ind = "cos2",
gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
repel = TRUE # Avoid text overlapping (slow if many points)
)
fviz_pca_ind(res.pca, pointsize = "cos2",
pointshape = 21, fill = "#E7B800",
repel = TRUE # Avoid text overlapping (slow if many points)
)
fviz_pca_ind(res.pca, col.ind = "cos2", pointsize = "cos2",
gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
repel = TRUE # Avoid text overlapping (slow if many points)
)
fviz_cos2(res.pca, choice = "ind")
# Total contribution on PC1 and PC2
fviz_contrib(res.pca, choice = "ind", axes = 1:2)
# Create a random continuous variable of length 23,
# Same length as the number of active individuals in the PCA
set.seed(123)
my.cont.var <- rnorm(49)
# Color individuals by the continuous variable
fviz_pca_ind(res.pca,
geom.ind = "point", # show points only (nbut not "text")
col.ind = Diabetes$Diabetes_binary, # color by groups
palette = c("#00AFBB", "#E7B800", "#FC4E07"),
addEllipses = TRUE, # Concentration ellipses
legend.title = "Groups"
)
fviz_pca_ind(res.pca, geom.ind = "point", col.ind = Diabetes$Diabetes_binary,
palette = c("#00AFBB", "#E7B800", "#FC4E07"),
addEllipses = TRUE, ellipse.type = "confidence",
legend.title = "Groups"
)
fviz_pca_ind(res.pca,
label = "none", # hide individual labels
habillage = Diabetes$Diabetes_binary, # color by groups
addEllipses = TRUE, # Concentration ellipses
palette = "jco"
)
fviz_pca_var(res.pca, geom.var = c("point", "text"))
# Show individuals text labels only
fviz_pca_ind(res.pca, geom.ind = "text")
# Change the size of arrows an labels
fviz_pca_var(res.pca, arrowsize = 1, labelsize = 5,
repel = TRUE)
# Change points size, shape and fill color
# Change labelsize
fviz_pca_ind(res.pca,
pointsize = 3, pointshape = 21, fill = "lightblue",
labelsize = 5, repel = TRUE)
fviz_pca_ind(res.pca,
geom.ind = "point", # show points only (but not "text")
group.ind = Diabetes$Diabetes_binary, # color by groups
legend.title = "Groups",
mean.point = FALSE)
fviz_pca_ind(res.pca,
geom.ind = "point", # show points only (but not "text")
group.ind = Diabetes$Diabetes_binary, # color by groups
legend.title = "Groups",
mean.point = TRUE)
fviz_pca_var(res.pca, axes.linetype = "blank")
ind.p <- fviz_pca_ind(res.pca, geom = "point", col.ind = Diabetes$Diabetes_binary)
ggpubr::ggpar(ind.p,
title = "Principal Component Analysis",
subtitle = "Diabetes data set",
caption = "Source: factoextra",
xlab = "PC1", ylab = "PC2",
legend.title = "Diabetes_binary", legend.position = "top",
ggtheme = theme_gray(), palette = "jco"
)
fviz_pca_biplot(res.pca, repel = TRUE,col.ind = Diabetes$Diabetes_binary,
col.var = "#2E9FDF", # Variables color
)
fviz_pca_biplot(res.pca,
col.ind = Diabetes$Diabetes_binary, palette = "jco",
addEllipses = TRUE, label = "var",
col.var = "black", repel = TRUE,
legend.title = "Diabetes_binary") 
fviz_pca_biplot(res.pca,
# Fill individuals by groups
geom.ind = "point",
pointshape = 21,
pointsize = 2.5,
fill.ind = Diabetes$Diabetes_binary,
col.ind = "black",
# Color variable by groups
legend.title = list(fill = "Diabetes_binary", color = "Clusters"),
repel = TRUE # Avoid label overplotting
)+
ggpubr::fill_palette("jco")+ # Indiviual fill color
ggpubr::color_palette("npg") # Variable colors
fviz_pca_biplot(res.pca,
# Individuals
geom.ind = "point",
fill.ind = Diabetes$Diabetes_binary, col.ind = "black",
pointshape = 21, pointsize = 2,
palette = "jco",
addEllipses = TRUE,
# Variables
alpha.var ="contrib", col.var = "contrib",
gradient.cols = "RdYlBu",
legend.title = list(fill = "Diabetes_binary", color = "Contrib",
alpha = "Contrib")
)
## http://www.sthda.com/english/articles/31-principal-component-methods-in-r-practical-guide/112-pca-principal-component-analysis-essentials/Inference regarding PCA
- In this particular case, the first PC explains 18.48% of the variance, the second PC explains 8.69%, and so on. Together, the first seven PCs account for 56.08% of the total variability in the data. The remaining PCs contribute less than 5% each to the total variability.
- Factors contributing to 1st dimensionality: General Health,Income, Physical Health, High BP, Education and Physical Activity.
- Factors contributing to 2nd dimensionality: Age and Sex.
- From scree diagram it is visible that 1st 2 dimensions are only important i.e the factors: General Health,Income, Physical Health, High BP, Education, Physical Activity, Age and Sex are the only important factors in determing whether a person is diabetic or not.
#EFA
# Factor Analysis
library(psych)
Diabetes <- read.csv("C:/Users/vidhi/Downloads/Diabetes.csv")
attach(Diabetes)## The following objects are masked from Diabetes (pos = 11):
##
## Age, AnyHealthcare, BMI, Diabetes_binary, Education, GenHlth,
## HeartDiseaseorAttack, HighBP, HvyAlcoholConsump, Income, MentHlth,
## PhysActivity, PhysHlth, Sex, Smoker, StrokeDiabetes[1]## Diabetes_binary
## 1 0
## 2 0
## 3 0
## 4 0
## 5 0
## 6 0
## 7 0
## 8 0
## 9 0
## 10 0
## 11 0
## 12 0
## 13 0
## 14 0
## 15 0
## 16 0
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## 18 0
## 19 0
## 20 0
## 21 0
## 22 0
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## 24 0
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## 360 1
## 361 1
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## 363 1
## 364 1
## 365 1
## 366 1
## 367 1
## 368 1
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## 399 1
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## 494 1
## 495 1
## 496 1
## 497 1
## 498 1
## 499 1fit.pc <- principal(Diabetes[-1], nfactors=4, rotate="varimax")
fit.pc## Principal Components Analysis
## Call: principal(r = Diabetes[-1], nfactors = 4, rotate = "varimax")
## Standardized loadings (pattern matrix) based upon correlation matrix
## RC1 RC4 RC2 RC3 h2 u2 com
## HighBP 0.10 0.62 0.37 0.00 0.53 0.47 1.7
## BMI 0.07 0.71 -0.33 0.05 0.62 0.38 1.4
## Smoker 0.19 0.05 0.32 0.44 0.33 0.67 2.3
## Stroke 0.19 -0.05 0.54 -0.18 0.36 0.64 1.5
## HeartDiseaseorAttack 0.24 0.04 0.61 0.06 0.43 0.57 1.3
## PhysActivity -0.25 -0.53 -0.12 0.00 0.36 0.64 1.5
## HvyAlcoholConsump 0.12 -0.28 -0.06 0.18 0.13 0.87 2.3
## AnyHealthcare -0.12 0.00 0.34 0.21 0.18 0.82 2.0
## GenHlth 0.69 0.41 0.15 -0.11 0.68 0.32 1.8
## MentHlth 0.73 -0.14 -0.02 -0.11 0.57 0.43 1.1
## PhysHlth 0.76 0.20 0.06 0.05 0.62 0.38 1.2
## Sex -0.02 0.10 0.07 0.77 0.61 0.39 1.0
## Age -0.18 0.32 0.70 -0.04 0.62 0.38 1.6
## Education -0.33 -0.25 -0.18 0.47 0.43 0.57 2.8
## Income -0.30 -0.38 -0.19 0.59 0.62 0.38 2.5
##
## RC1 RC4 RC2 RC3
## SS loadings 2.05 1.80 1.73 1.51
## Proportion Var 0.14 0.12 0.12 0.10
## Cumulative Var 0.14 0.26 0.37 0.47
## Proportion Explained 0.29 0.25 0.24 0.21
## Cumulative Proportion 0.29 0.54 0.79 1.00
##
## Mean item complexity = 1.7
## Test of the hypothesis that 4 components are sufficient.
##
## The root mean square of the residuals (RMSR) is 0.09
## with the empirical chi square 824.61 with prob < 3.5e-140
##
## Fit based upon off diagonal values = 0.74round(fit.pc$values, 3)## [1] 3.114 1.573 1.242 1.157 1.038 1.019 0.964 0.844 0.812 0.698 0.652 0.571
## [13] 0.519 0.441 0.357fit.pc$loadings##
## Loadings:
## RC1 RC4 RC2 RC3
## HighBP 0.105 0.617 0.369
## BMI 0.709 -0.326
## Smoker 0.189 0.316 0.435
## Stroke 0.187 0.541 -0.183
## HeartDiseaseorAttack 0.240 0.610
## PhysActivity -0.255 -0.529 -0.115
## HvyAlcoholConsump 0.117 -0.277 0.185
## AnyHealthcare -0.122 0.343 0.213
## GenHlth 0.693 0.412 0.153 -0.105
## MentHlth 0.731 -0.142 -0.109
## PhysHlth 0.758 0.196
## Sex 0.770
## Age -0.178 0.323 0.695
## Education -0.328 -0.254 -0.184 0.473
## Income -0.295 -0.384 -0.188 0.594
##
## RC1 RC4 RC2 RC3
## SS loadings 2.054 1.800 1.726 1.505
## Proportion Var 0.137 0.120 0.115 0.100
## Cumulative Var 0.137 0.257 0.372 0.472# Loadings with more digits
for (i in c(1,3,2,4)) { print(fit.pc$loadings[[1,i]])}## [1] 0.1048482
## [1] 0.3688329
## [1] 0.6167453
## [1] 0.000927694# Communalities
fit.pc$communality## HighBP BMI Smoker
## 0.5274065 0.6171575 0.3271962
## Stroke HeartDiseaseorAttack PhysActivity
## 0.3633309 0.4345679 0.3577367
## HvyAlcoholConsump AnyHealthcare GenHlth
## 0.1286226 0.1777654 0.6847635
## MentHlth PhysHlth Sex
## 0.5667671 0.6197077 0.6076436
## Age Education Income
## 0.6206563 0.4299031 0.6226707# Rotated factor scores, Notice the columns ordering: RC1, RC3, RC2 and RC4
fit.pc$scores## RC1 RC4 RC2 RC3
## [1,] 1.190940345 -0.447633173 -1.0900051622 1.437413860
## [2,] -0.504300810 0.170578531 1.8269624937 1.266493486
## [3,] -1.045470792 -0.716528875 0.2107540425 0.869988777
## [4,] -0.577522084 0.214937891 0.4205595846 1.643360791
## [5,] -0.582428989 -0.862480169 -0.2866915122 0.147643083
## [6,] 0.682191276 -2.059095736 -2.1880140876 -1.581601235
## [7,] -0.375938771 -1.528190255 0.6507907185 1.430616939
## [8,] 0.411554163 0.605801751 -0.5979906222 0.450540300
## [9,] -0.239779342 -0.803720916 -1.6156556182 -0.081528728
## [10,] 0.420989058 0.132298899 -0.4460671639 0.605082909
## [11,] -0.307156258 -0.339055124 1.8555709452 -0.248215796
## [12,] -0.658616458 -1.552268583 -0.8786979297 0.798538826
## [13,] -0.867895399 -0.134110263 -0.4487914711 0.970766388
## [14,] -0.552556092 3.214675347 -1.4091868881 0.739045966
## [15,] -0.958931027 -0.444757970 0.1981152345 -1.036995276
## [16,] -0.313907945 -1.315609658 0.6236402055 -0.614081394
## [17,] -0.916427138 -0.638232495 -0.4971732414 -0.664798298
## [18,] -0.980880660 -0.536753012 -0.0194071397 1.330954221
## [19,] -0.834535952 -1.551945217 -0.2609242910 -0.367788684
## [20,] 0.573846668 0.796020759 -1.4854119698 -0.008637384
## [21,] -0.943798389 -1.610585174 -0.6423436936 -0.334356345
## [22,] 1.224412929 0.462377411 0.0828905408 1.826247602
## [23,] -0.102509373 -2.355100897 -0.4166491419 0.300873760
## [24,] -1.099004473 -0.635813601 -0.3950462334 -1.124587113
## [25,] 0.867041110 -0.577060826 -0.2733065458 -1.204645245
## [26,] -0.561726018 -0.723719726 -0.5745616161 0.611321153
## [27,] -0.871514903 0.008427645 0.9060060774 0.346417723
## [28,] -0.236986265 1.156521593 -0.3655972257 -0.711300904
## [29,] -0.527481194 -0.254088133 -1.3607793368 -0.471031075
## [30,] -0.583212016 -0.085240480 -0.9593094904 0.328800504
## [31,] 2.489521592 -1.031148502 -0.5621075355 -0.652965181
## [32,] 0.204786713 -1.352075970 -0.7409854568 -0.655397676
## [33,] 0.113452898 -1.265641430 -0.7423322836 0.163171291
## [34,] 0.412190372 -0.522655302 -0.8096111335 -1.287021720
## [35,] -0.656726481 0.076547423 1.4737525330 1.148319141
## [36,] 0.079195531 -1.686144120 -0.2485252123 -1.220908108
## [37,] -0.419637258 -0.465477467 -0.9985736693 1.015486786
## [38,] -0.501115123 -0.076677566 -0.7612828764 1.334948976
## [39,] -0.320626838 -0.577921032 -0.6645778967 1.325700618
## [40,] -0.977729526 -0.722831876 0.3127343680 1.159873633
## [41,] 0.259300400 -1.930949772 -0.5730543831 0.117418066
## [42,] -0.781585759 -0.785682539 -0.5673640552 0.854415287
## [43,] -0.557810102 2.009462893 -1.5771259485 1.137009872
## [44,] -0.303697253 0.596785180 -0.9705134083 1.291820215
## [45,] -1.153077329 -0.192426854 -0.2124372350 -0.162128782
## [46,] 1.514805196 -0.839256022 -0.7541221959 -0.232137102
## [47,] -0.513229479 -1.878406627 -0.2556490883 0.015988051
## [48,] -0.934800513 -1.172536346 -0.3858807654 -0.913722822
## [49,] -0.012667559 -0.970291629 -1.2493890545 0.673799225
## [50,] -1.058754446 0.026959624 0.7337426672 0.508290739
## [51,] -0.888911336 0.446752479 0.2107218769 -0.798142349
## [52,] 2.214309473 -0.593617461 -0.5725206567 1.377388018
## [53,] -0.540453811 0.837012886 1.2297313403 1.280990101
## [54,] -0.608861297 -0.909230430 -1.2477029673 -0.155806906
## [55,] -0.907631738 -1.543393976 -0.1930214517 -0.543357969
## [56,] -1.107571217 -0.173613791 -0.2346905594 0.764114106
## [57,] -0.176725444 0.501771302 -2.1105823436 0.212075662
## [58,] -0.889841004 -0.743775568 0.3954587675 -0.155919264
## [59,] 0.045418537 -2.525968604 -0.4114622889 0.970369093
## [60,] 2.590617696 1.043930765 -0.3809968653 1.301956167
## [61,] 1.725504181 -0.895965239 -0.3560639038 1.951286662
## [62,] -0.366135557 1.930478217 -0.0948777549 -1.233219853
## [63,] -0.459392874 -0.912329797 1.8444184406 0.086675620
## [64,] -0.195285406 -0.866585690 -0.2806682168 0.672523773
## [65,] -0.273552122 -1.049699722 -1.3472302949 0.959473335
## [66,] 3.641514738 -2.094525686 0.7936573205 -1.210190708
## [67,] -0.794407183 0.398202779 -0.6079565621 1.473960168
## [68,] -0.707662479 0.309758007 0.9327055992 1.847010999
## [69,] -0.718570064 0.215347126 -0.4908610767 -0.583788579
## [70,] -0.573138488 -0.094711176 -2.0447027896 -0.119603889
## [71,] -0.126816456 -1.229714973 -1.0808623886 0.966867941
## [72,] -0.164599137 -0.800438980 -0.6966010396 0.549179153
## [73,] 3.290190410 0.003438117 0.2538685104 0.459989247
## [74,] -0.839912198 -1.077533080 -0.4077365239 0.189155769
## [75,] -0.856074515 -0.339422862 0.4351658496 -1.673900699
## [76,] -0.890343467 0.455091067 0.3332731634 -0.717481642
## [77,] 0.154813052 -1.787995436 -0.3259699965 -0.264889052
## [78,] -0.778534115 0.075713868 -0.9572797727 0.572967760
## [79,] 0.865305423 -1.140239061 -0.7803298278 -0.316298171
## [80,] -1.014936133 0.614242712 0.3004922636 -0.366248758
## [81,] -0.989774920 -1.935339769 -0.2527900123 -0.425189037
## [82,] 0.406555868 0.290925474 -1.0034316592 0.714231657
## [83,] 0.946114955 0.892551159 -1.0477757838 -0.927581634
## [84,] -1.028267077 -1.112460212 0.4478238568 -1.118144086
## [85,] -1.068315095 0.756941161 -0.5487329102 1.774224924
## [86,] -0.185661703 -1.776017090 -1.2967001893 -0.231283746
## [87,] -0.596077009 -0.780826109 -1.4888973364 -0.109836765
## [88,] 3.001912881 -0.777318495 1.8978622726 -0.646985787
## [89,] 1.994187994 0.542427670 -1.6222170237 -0.707893849
## [90,] -0.438284426 0.635265660 -0.8855913351 0.593220220
## [91,] -0.586131022 0.503781091 0.2578539566 -0.463350980
## [92,] -0.592620677 -1.092104606 -0.4729209398 0.538588447
## [93,] 1.088496879 1.577289878 1.0640052102 1.525311265
## [94,] -1.060392087 -0.604572075 -0.6661695469 0.710961276
## [95,] 1.297747150 0.420948291 0.8833641001 -0.014067392
## [96,] -1.505858085 -1.005556534 0.5231547139 -1.086556150
## [97,] -0.640324328 -1.213358961 -0.0080172911 -1.191402700
## [98,] -1.343222342 -0.422153349 -0.6467488032 -0.187277296
## [99,] -0.624322577 -0.405747241 -0.4021493227 -0.798922117
## [100,] 0.605573495 -0.288231056 -2.9013521088 -1.049675693
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## [343,] 1.076187497 0.940190286 -0.3840204323 -0.279142092
## [344,] -0.257407880 1.426037596 0.5755264051 -1.723447416
## [345,] 0.154334234 1.184853497 -1.2691588483 -0.130204565
## [346,] -0.689089622 0.146094948 0.8938079462 0.504006064
## [347,] -0.172063851 1.006420992 0.3122420599 -1.050415090
## [348,] 1.180262680 1.627062498 0.1712005205 -2.297950440
## [349,] 2.569627392 0.411706982 -0.3627460115 0.865085776
## [350,] 1.226754660 -1.482622284 1.6283418776 0.846227618
## [351,] 0.793386097 0.998087563 1.5817663591 -0.485032984
## [352,] 0.107957577 2.350853027 -0.6651094638 -1.324824720
## [353,] 0.311482426 -0.558504640 -0.0002204482 -0.925992839
## [354,] -0.158724179 -1.097093424 1.1143344222 1.530231144
## [355,] 0.290029193 0.890185115 -1.6507240785 -0.938043834
## [356,] -0.093137284 -1.608554196 -0.1944831800 1.056353798
## [357,] 1.094058009 1.463633117 -0.8110029861 -0.764651593
## [358,] -0.440536612 0.674556309 0.8920601525 0.521578384
## [359,] 0.717316381 0.054118079 0.2292483622 0.383933372
## [360,] -0.260294920 0.665333936 0.1167447548 -1.318217862
## [361,] -0.713191285 1.119247181 -0.1565076979 -0.232561871
## [362,] 2.206670210 0.630750530 0.1905918861 -0.803389415
## [363,] -0.941179976 -0.359173619 0.5142834547 0.091577157
## [364,] -0.131147693 0.906813893 1.4998596679 1.493666991
## [365,] -0.629133690 0.329896809 1.1647128061 -0.470478333
## [366,] -0.382389524 0.751255144 1.0517806659 0.333801841
## [367,] 0.303845637 0.499648610 -0.2422157429 -0.555953731
## [368,] -0.655753782 1.191635033 -0.5154086908 -1.435104633
## [369,] -0.250414696 1.446865800 1.1326753962 1.709401979
## [370,] -0.621936622 -0.519797997 1.4516568101 1.681415663
## [371,] -0.814034466 0.799829411 0.1513217856 -0.724120575
## [372,] -1.218434492 1.089401857 0.2613333704 -1.109467260
## [373,] -0.914095602 -0.307389093 -0.1290951994 0.310546516
## [374,] -0.910283984 0.407984051 0.0826748737 0.078828248
## [375,] 1.257418927 0.525309624 0.0965158087 1.058616392
## [376,] -0.716094741 -0.099589876 1.1040936586 1.087698901
## [377,] 1.225984149 -0.365155617 0.1487379649 0.775187802
## [378,] -0.536685840 -0.935260444 -1.3701669765 -1.151577510
## [379,] -0.489404938 -0.004790985 -0.9623505644 -1.965825769
## [380,] -0.489281393 1.072818324 0.4686677110 1.084003654
## [381,] 1.774081908 0.305581902 0.5509801558 1.621683576
## [382,] 1.500591141 -0.906642114 0.9213567696 0.824505213
## [383,] 2.708058970 0.632854131 0.1588267920 -1.934684577
## [384,] 1.175387659 1.972480144 -1.2315619305 -1.143999047
## [385,] 1.460025690 -0.224858138 2.5194963473 -1.269874840
## [386,] 0.808387301 0.151011487 -0.1341754086 -1.279420336
## [387,] -0.712302518 -0.159028148 0.0500844778 -0.882652255
## [388,] -0.201404489 1.493511291 0.4976205400 -0.256934402
## [389,] -0.392737943 0.069045409 0.8776265725 0.499951142
## [390,] 1.006840436 -0.399990574 -0.4942977946 -0.956672838
## [391,] -0.592898976 0.984548645 0.1365177032 -0.885583401
## [392,] -0.641113712 -0.768381886 -0.7057896338 -0.204501518
## [393,] 1.716893707 -0.021268060 1.8212603155 0.492733112
## [394,] -0.515766101 -0.482506119 0.1931892086 -0.179251892
## [395,] -1.144467060 -0.675376799 0.2319202438 -1.538967777
## [396,] -0.787482583 0.582789789 0.6420392038 0.243317014
## [397,] -0.681703354 -0.341430268 -0.7995421844 -0.117545374
## [398,] 2.922211632 -0.791810366 2.0610183864 -0.472498816
## [399,] -0.170413855 -0.867354090 2.5821389754 -1.075818477
## [400,] 3.164007262 0.913321488 0.1161360179 0.373748136
## [401,] -0.930974075 -0.057953459 0.3901105622 -0.979290712
## [402,] -0.284304968 0.075376489 1.5842539611 -1.613144172
## [403,] -0.751130844 1.145638401 0.0294846965 -1.603029079
## [404,] -0.516685381 0.408147099 0.1535987372 -0.945704736
## [405,] -0.593154548 -0.205937711 -0.7238576461 0.956678191
## [406,] -0.496843300 0.212485182 0.0130688833 -1.211890829
## [407,] -0.896749392 0.501786219 0.1889043759 -1.320954725
## [408,] 1.788510081 -0.308883162 1.0480740319 2.368389196
## [409,] -0.116404552 0.740637855 0.9191950570 -1.658006408
## [410,] -0.354706948 -0.367713308 0.5856020934 1.580791648
## [411,] -0.848857186 0.695323812 0.4205034647 -0.808057567
## [412,] -0.377686998 2.523240871 -3.1919132607 -1.318495748
## [413,] -0.041181805 0.904792654 1.1401856899 -0.405506566
## [414,] 1.481235770 0.293618551 0.3538010556 -1.528221996
## [415,] 0.387371338 -0.564933727 -0.2342493978 1.251349109
## [416,] 1.255521609 0.671556837 -1.0667530951 0.531470435
## [417,] -0.528272894 -0.692548449 -0.4846612391 -0.988231108
## [418,] 1.108296969 -0.251376439 -0.4626449018 -0.135475449
## [419,] -0.365608684 0.174415076 1.8529984211 0.522589720
## [420,] -0.982770903 1.066087795 -0.1337306890 -0.282375512
## [421,] 1.679681072 -0.163488278 -1.2784426068 -2.451208954
## [422,] 0.336717965 1.059722154 -0.9005181483 -1.174147550
## [423,] -0.388573416 0.088971546 0.8371779668 -0.634573375
## [424,] 0.863690542 0.982948106 -0.2810531348 1.561289122
## [425,] -0.741198615 -0.481212348 1.5948903930 0.081333858
## [426,] -0.156187116 1.234564423 -0.1210989706 1.989107768
## [427,] -1.240042356 1.132524605 0.0190913727 1.112720056
## [428,] -0.632157961 2.140737945 -0.7552822984 1.413792935
## [429,] -0.497724243 -0.458475559 -1.3634593634 -0.000431894
## [430,] -0.759152023 0.950478154 -0.0748860094 0.789795209
## [431,] -0.709184054 -0.372213713 -0.0172182779 1.197937992
## [432,] -0.530083071 2.001303539 -0.2669050026 1.204627161
## [433,] 0.335009889 -0.060654585 0.5715257874 -1.602488214
## [434,] 1.121399022 1.382031909 1.1308037132 0.700805393
## [435,] -0.337458583 1.832563057 -0.6465094197 0.096176026
## [436,] 1.181700476 -0.156899044 -0.6190435050 0.167711572
## [437,] -0.886962677 -0.475751054 -0.3188382697 -0.447339416
## [438,] -0.218559337 0.897941258 -0.0460349094 0.998116983
## [439,] 3.032267640 -0.786523917 -0.1067428936 0.131724063
## [440,] -0.660412338 0.730544843 -0.1069015879 -1.366551334
## [441,] -1.348567880 0.426781597 0.1386934257 0.237773278
## [442,] 1.579306300 0.728397009 1.4235055892 1.453538252
## [443,] -0.359719559 1.901945961 -0.0992063100 -0.048582774
## [444,] -0.055539876 0.270584955 2.3952887226 1.402385900
## [445,] -0.031323069 0.424930889 2.0246188892 -0.521650366
## [446,] -0.149786359 0.415971475 0.3683842265 -1.073009026
## [447,] -0.325330227 0.354577347 1.4993265482 -0.188882917
## [448,] 0.624055982 0.359555821 0.0675464290 -0.753732262
## [449,] -0.299196281 -1.323757264 1.7961587001 -0.436398726
## [450,] 0.387100018 0.169769853 0.5015179488 -1.429025226
## [451,] 1.120069564 0.137960267 -0.1730124947 -1.323704589
## [452,] -0.432839073 0.449429897 -1.4880765686 0.641648325
## [453,] -0.154343791 1.038605683 -0.2336647029 -1.387716454
## [454,] -0.359370113 0.233638210 -0.2910894638 0.350603340
## [455,] 1.066590037 0.017054387 2.6425608224 -0.489584469
## [456,] -0.223313295 -0.157720332 0.9168741100 0.689824039
## [457,] 0.994696800 -0.235094296 2.5614084536 -1.766910049
## [458,] -0.072627415 0.250884450 0.3265308261 -0.129228275
## [459,] -0.099042854 1.464698314 -0.1617572471 0.757632655
## [460,] 2.306154365 0.029403977 -0.3767507503 -0.636929503
## [461,] 0.003606339 1.263408892 1.2393414800 1.137456820
## [462,] -0.390534654 0.644595893 -1.1070607395 -0.437352770
## [463,] 1.026250291 1.133128065 1.4086433729 1.756111177
## [464,] 1.020340290 2.125167276 -1.0753084236 0.121132750
## [465,] -0.515308147 0.095289033 0.6330111549 -0.890362435
## [466,] 0.625453688 -0.555664470 1.0343837814 -1.767882310
## [467,] -0.323554926 0.699961269 0.0989050803 0.162742435
## [468,] -0.244052800 1.172185812 -0.0621375850 -0.987983423
## [469,] 0.279146385 2.084391148 -0.6016809289 -1.520151588
## [470,] -0.671463165 0.295946814 0.2393927635 -1.674661431
## [471,] -0.185779509 0.206683680 0.7588582842 1.604654560
## [472,] -0.661342092 0.411508920 -0.6491529519 -0.781555278
## [473,] -0.416150550 0.959046444 0.2707453584 1.223441190
## [474,] -0.166564426 1.230445742 -0.6717141827 -0.541949115
## [475,] 0.039690503 1.350061851 -0.6978726938 -0.034273513
## [476,] -0.730075977 1.282155869 -0.0787760604 0.077493266
## [477,] -0.349985593 0.283904136 1.2387986743 -0.472786502
## [478,] 0.444416311 1.433462511 -0.6360433974 -0.342483029
## [479,] 3.524223738 0.001762277 -1.6180769622 -1.176934762
## [480,] -1.226368219 -0.916431417 0.5725209585 -1.234626500
## [481,] 0.499891503 1.556060863 1.3915971185 -0.729974592
## [482,] 0.847382030 0.245545920 1.1030102697 -1.720485660
## [483,] -0.640596495 0.527635324 0.1179396510 1.517451626
## [484,] -0.934548084 -0.052783327 0.6221169954 1.368710618
## [485,] -0.132762802 0.793795392 0.1895593730 0.878054822
## [486,] 1.365794194 1.759588531 -0.7970794705 0.633700851
## [487,] -0.135667719 1.028674598 0.4491084764 0.755663715
## [488,] 0.249449619 2.141986392 -0.8515213794 -0.273249521
## [489,] 0.070761613 -0.079032256 -0.0484752632 1.087139815
## [490,] 1.417059817 2.204925965 -0.8124820113 1.554303628
## [491,] 0.557654232 -0.040594097 0.6451225122 -1.252363472
## [492,] 0.339394617 0.863483821 -0.6550039891 -1.277522943
## [493,] 0.621561345 -0.693376065 2.9921229363 -0.098467472
## [494,] -0.973813748 -0.592884218 0.0560083113 -1.333889877
## [495,] -0.519216458 1.029284401 1.0196347736 1.383645319
## [496,] -0.108929066 2.612209998 -0.4456639783 0.741841932
## [497,] -0.093541659 -0.208083513 -1.2903314590 0.482427138
## [498,] 0.238126018 1.042289451 0.5680780240 -0.186416191
## [499,] 1.076484369 1.722948109 0.7376440114 -0.792581822# Play with FA utilities
fa.parallel(Diabetes[-1]) # See factor recommendation
## Parallel analysis suggests that the number of factors = 5 and the number of components = 3fa.plot(fit.pc) # See Correlations within Factors
fa.diagram(fit.pc) # Visualize the relationship
vss(Diabetes[-1]) # See Factor recommendations for a simple structure
##
## Very Simple Structure
## Call: vss(x = Diabetes[-1])
## Although the VSS complexity 1 shows 8 factors, it is probably more reasonable to think about 1 factors
## VSS complexity 2 achieves a maximimum of 0.64 with 8 factors
##
## The Velicer MAP achieves a minimum of 0.02 with 1 factors
## BIC achieves a minimum of -252.89 with 3 factors
## Sample Size adjusted BIC achieves a minimum of -60.06 with 5 factors
##
## Statistics by number of factors
## vss1 vss2 map dof chisq prob sqresid fit RMSEA BIC SABIC complex
## 1 0.43 0.00 0.016 90 423.9 9.5e-45 12.2 0.43 0.086 -135 150 1.0
## 2 0.42 0.52 0.020 76 291.5 5.6e-27 10.2 0.52 0.075 -181 61 1.4
## 3 0.40 0.54 0.024 63 138.5 1.4e-07 9.0 0.58 0.049 -253 -53 1.6
## 4 0.40 0.55 0.032 51 97.5 9.6e-05 8.1 0.62 0.043 -219 -57 1.7
## 5 0.42 0.59 0.042 40 61.5 1.6e-02 7.3 0.66 0.033 -187 -60 1.7
## 6 0.44 0.59 0.054 30 32.3 3.6e-01 6.5 0.70 0.012 -154 -59 1.7
## 7 0.47 0.61 0.077 21 15.9 7.8e-01 5.8 0.73 0.000 -115 -48 1.7
## 8 0.50 0.64 0.096 13 9.5 7.3e-01 5.3 0.75 0.000 -71 -30 1.8
## eChisq SRMR eCRMS eBIC
## 1 611 0.0763 0.082 51
## 2 341 0.0571 0.067 -131
## 3 170 0.0403 0.052 -221
## 4 110 0.0324 0.046 -207
## 5 64 0.0247 0.040 -185
## 6 30 0.0168 0.031 -157
## 7 14 0.0116 0.026 -116
## 8 7 0.0081 0.023 -74# Computing Correlation Matrix
corrm.emp <- cor(Diabetes[-1])
corrm.emp## HighBP BMI Smoker Stroke
## HighBP 1.00000000 0.233271793 0.108150142 0.139773759
## BMI 0.23327179 1.000000000 -0.004787471 -0.011000074
## Smoker 0.10815014 -0.004787471 1.000000000 0.052092579
## Stroke 0.13977376 -0.011000074 0.052092579 1.000000000
## HeartDiseaseorAttack 0.22312155 0.012686820 0.119860406 0.276533735
## PhysActivity -0.22528737 -0.168441268 -0.034178518 -0.162200293
## HvyAlcoholConsump -0.06488317 -0.056167322 -0.009391152 -0.028663382
## AnyHealthcare 0.05882816 -0.041330743 0.088752999 0.008162259
## GenHlth 0.35557676 0.211886204 0.074763071 0.224151365
## MentHlth 0.08743711 0.032942930 0.070468055 0.075523810
## PhysHlth 0.20258590 0.105688914 0.049562115 0.101010215
## Sex 0.01637975 0.005781638 0.224511262 -0.057620191
## Age 0.37500670 -0.038694836 0.116498093 0.161249367
## Education -0.19448405 -0.079893598 -0.079338228 -0.101153950
## Income -0.26234141 -0.187270089 -0.034880281 -0.163056610
## HeartDiseaseorAttack PhysActivity HvyAlcoholConsump
## HighBP 0.22312155 -0.225287373 -6.488317e-02
## BMI 0.01268682 -0.168441268 -5.616732e-02
## Smoker 0.11986041 -0.034178518 -9.391152e-03
## Stroke 0.27653374 -0.162200293 -2.866338e-02
## HeartDiseaseorAttack 1.00000000 -0.150980692 -4.093643e-02
## PhysActivity -0.15098069 1.000000000 7.996783e-02
## HvyAlcoholConsump -0.04093643 0.079967829 1.000000e+00
## AnyHealthcare 0.03395736 0.031795902 9.385514e-05
## GenHlth 0.19615977 -0.379321077 -6.205083e-02
## MentHlth 0.12917621 -0.040328200 -5.396165e-02
## PhysHlth 0.17196970 -0.261733132 7.016984e-03
## Sex 0.07220510 -0.009239187 2.051390e-02
## Age 0.25375827 -0.156053093 -7.372583e-02
## Education -0.11321236 0.164071035 4.990137e-02
## Income -0.14008962 0.216307611 1.337161e-01
## AnyHealthcare GenHlth MentHlth PhysHlth
## HighBP 5.882816e-02 0.35557676 0.08743711 0.202585896
## BMI -4.133074e-02 0.21188620 0.03294293 0.105688914
## Smoker 8.875300e-02 0.07476307 0.07046806 0.049562115
## Stroke 8.162259e-03 0.22415136 0.07552381 0.101010215
## HeartDiseaseorAttack 3.395736e-02 0.19615977 0.12917621 0.171969705
## PhysActivity 3.179590e-02 -0.37932108 -0.04032820 -0.261733132
## HvyAlcoholConsump 9.385514e-05 -0.06205083 -0.05396165 0.007016984
## AnyHealthcare 1.000000e+00 0.01257727 -0.06726467 0.031280608
## GenHlth 1.257727e-02 1.00000000 0.33041478 0.584650724
## MentHlth -6.726467e-02 0.33041478 1.00000000 0.338184198
## PhysHlth 3.128061e-02 0.58465072 0.33818420 1.000000000
## Sex 3.786612e-02 -0.08690804 -0.09924688 -0.019238921
## Age 1.635280e-01 0.13828098 -0.07820728 0.072200137
## Education 6.300604e-02 -0.33101626 -0.18108729 -0.218929319
## Income 6.090343e-02 -0.37372824 -0.21009823 -0.238328433
## Sex Age Education Income
## HighBP 0.016379754 0.37500670 -0.19448405 -0.26234141
## BMI 0.005781638 -0.03869484 -0.07989360 -0.18727009
## Smoker 0.224511262 0.11649809 -0.07933823 -0.03488028
## Stroke -0.057620191 0.16124937 -0.10115395 -0.16305661
## HeartDiseaseorAttack 0.072205097 0.25375827 -0.11321236 -0.14008962
## PhysActivity -0.009239187 -0.15605309 0.16407104 0.21630761
## HvyAlcoholConsump 0.020513896 -0.07372583 0.04990137 0.13371609
## AnyHealthcare 0.037866116 0.16352805 0.06300604 0.06090343
## GenHlth -0.086908042 0.13828098 -0.33101626 -0.37372824
## MentHlth -0.099246879 -0.07820728 -0.18108729 -0.21009823
## PhysHlth -0.019238921 0.07220014 -0.21892932 -0.23832843
## Sex 1.000000000 0.04056516 0.13689969 0.26633655
## Age 0.040565156 1.00000000 -0.13640669 -0.18016706
## Education 0.136899685 -0.13640669 1.00000000 0.50844063
## Income 0.266336551 -0.18016706 0.50844063 1.00000000plot(corrm.emp)
Diabetes_pca <- prcomp(Diabetes[-1], scale=TRUE)
summary(Diabetes_pca)## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Standard deviation 1.7647 1.2541 1.11464 1.07548 1.01888 1.00936 0.98163
## Proportion of Variance 0.2076 0.1048 0.08283 0.07711 0.06921 0.06792 0.06424
## Cumulative Proportion 0.2076 0.3125 0.39528 0.47239 0.54160 0.60952 0.67376
## PC8 PC9 PC10 PC11 PC12 PC13 PC14
## Standard deviation 0.91875 0.90107 0.83554 0.80717 0.75555 0.7204 0.66399
## Proportion of Variance 0.05627 0.05413 0.04654 0.04344 0.03806 0.0346 0.02939
## Cumulative Proportion 0.73003 0.78416 0.83071 0.87414 0.91220 0.9468 0.97619
## PC15
## Standard deviation 0.59765
## Proportion of Variance 0.02381
## Cumulative Proportion 1.00000plot(Diabetes_pca)
# A table containing eigenvalues and %'s accounted, follows. Eigenvalues are the sdev^2
(eigen_Diabetes <- round(Diabetes_pca$sdev^2,3))## [1] 3.114 1.573 1.242 1.157 1.038 1.019 0.964 0.844 0.812 0.698 0.652 0.571
## [13] 0.519 0.441 0.357round(fit.pc$values, 3)## [1] 3.114 1.573 1.242 1.157 1.038 1.019 0.964 0.844 0.812 0.698 0.652 0.571
## [13] 0.519 0.441 0.357names(eigen_Diabetes) <- paste("PC",1:9,sep="")
eigen_Diabetes## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8 PC9 <NA> <NA> <NA> <NA>
## 3.114 1.573 1.242 1.157 1.038 1.019 0.964 0.844 0.812 0.698 0.652 0.571 0.519
## <NA> <NA>
## 0.441 0.357sumlambdas <- sum(eigen_Diabetes)
sumlambdas## [1] 15.001propvar <- round(eigen_Diabetes/sumlambdas,2)
propvar## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8 PC9 <NA> <NA> <NA> <NA> <NA> <NA>
## 0.21 0.10 0.08 0.08 0.07 0.07 0.06 0.06 0.05 0.05 0.04 0.04 0.03 0.03 0.02cumvar_Diabetes <- cumsum(propvar)
cumvar_Diabetes## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8 PC9 <NA> <NA> <NA> <NA> <NA> <NA>
## 0.21 0.31 0.39 0.47 0.54 0.61 0.67 0.73 0.78 0.83 0.87 0.91 0.94 0.97 0.99matlambdas <- rbind(eigen_Diabetes,propvar,cumvar_Diabetes)
matlambdas## PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8 PC9 <NA>
## eigen_Diabetes 3.114 1.573 1.242 1.157 1.038 1.019 0.964 0.844 0.812 0.698
## propvar 0.210 0.100 0.080 0.080 0.070 0.070 0.060 0.060 0.050 0.050
## cumvar_Diabetes 0.210 0.310 0.390 0.470 0.540 0.610 0.670 0.730 0.780 0.830
## <NA> <NA> <NA> <NA> <NA>
## eigen_Diabetes 0.652 0.571 0.519 0.441 0.357
## propvar 0.040 0.040 0.030 0.030 0.020
## cumvar_Diabetes 0.870 0.910 0.940 0.970 0.990rownames(matlambdas) <- c("Eigenvalues","Prop. variance","Cum. prop. variance")
rownames(matlambdas)## [1] "Eigenvalues" "Prop. variance" "Cum. prop. variance"eigvec.emp <- Diabetes_pca$rotation
print(Diabetes_pca)## Standard deviations (1, .., p=15):
## [1] 1.7646922 1.2540627 1.1146446 1.0754771 1.0188832 1.0093606 0.9816263
## [8] 0.9187490 0.9010750 0.8355400 0.8071737 0.7555477 0.7203929 0.6639907
## [15] 0.5976521
##
## Rotation (n x k) = (15 x 15):
## PC1 PC2 PC3 PC4
## HighBP 0.326149229 0.246399261 -0.13303779 -0.26080449
## BMI 0.167626995 -0.101839483 0.04120408 -0.66482697
## Smoker 0.093333990 0.350190124 0.28938167 0.05229281
## Stroke 0.211842691 0.162241675 -0.13665199 0.37073969
## HeartDiseaseorAttack 0.239087419 0.316667386 0.01177870 0.29208452
## PhysActivity -0.291085313 -0.057618287 -0.03361984 0.27464859
## HvyAlcoholConsump -0.090283959 -0.002662284 0.24257599 0.16136839
## AnyHealthcare 0.005143826 0.329295696 -0.02590574 0.07389193
## GenHlth 0.440430257 -0.097915017 0.22701840 -0.03692534
## MentHlth 0.233893964 -0.265986788 0.38061240 0.30151528
## PhysHlth 0.349300603 -0.111540622 0.41669288 0.06206433
## Sex -0.079777876 0.433715325 0.43256510 -0.22683585
## Age 0.212579671 0.450806495 -0.35680625 0.04305580
## Education -0.320398143 0.186484273 0.19327836 -0.08877913
## Income -0.370084452 0.221427867 0.30917390 -0.01554688
## PC5 PC6 PC7 PC8
## HighBP -0.008269941 -0.10906402 -0.09655581 -0.2698343702
## BMI -0.071433125 0.03572986 -0.05743480 -0.5231458782
## Smoker 0.550101274 0.17628365 -0.18612003 0.0120565846
## Stroke -0.401701344 0.27739720 0.01466837 -0.1542399862
## HeartDiseaseorAttack -0.195132878 0.27008153 0.01483961 -0.3002428568
## PhysActivity 0.342307829 -0.09372920 -0.03906327 -0.5642317955
## HvyAlcoholConsump -0.283092530 -0.37582616 -0.79934851 -0.0963949484
## AnyHealthcare 0.129072603 -0.70109968 0.33836227 -0.0857513055
## GenHlth -0.114296874 -0.13677232 0.07770650 0.1028945455
## MentHlth 0.182407069 0.04554311 0.21335985 -0.3036853105
## PhysHlth -0.112870068 -0.23770044 0.12456154 0.1647823988
## Sex 0.096176135 0.25417875 -0.06652457 0.1513946402
## Age 0.034914264 -0.14596999 -0.05282487 0.0993500168
## Education -0.380645175 -0.02380269 0.32104021 -0.2041259867
## Income -0.253703680 -0.02291390 0.14131551 -0.0006541796
## PC9 PC10 PC11 PC12
## HighBP -0.32944063 -0.357349004 0.110808684 0.136294368
## BMI 0.26013875 0.145731702 -0.029611678 -0.050232966
## Smoker 0.37261357 -0.352592375 -0.321088908 -0.213702039
## Stroke 0.50830550 -0.209563654 0.432075377 0.040035634
## HeartDiseaseorAttack -0.17340541 0.540775940 -0.435655890 -0.140156256
## PhysActivity -0.19189638 0.027185580 0.410766222 -0.408359237
## HvyAlcoholConsump 0.02699488 -0.003146716 -0.081614107 0.133060848
## AnyHealthcare 0.37486619 0.259043096 0.004676320 0.197339594
## GenHlth 0.02231245 -0.095542371 0.124716063 -0.211497810
## MentHlth -0.19103418 -0.154036780 -0.068708928 0.590671465
## PhysHlth -0.14370660 0.044890882 0.116925618 -0.480698849
## Sex -0.11572066 0.317028455 0.490189988 0.223919970
## Age -0.36258045 -0.171491658 0.025402519 -0.006981887
## Education -0.06052129 -0.372124247 -0.238667548 -0.115815696
## Income -0.11077971 -0.138820034 -0.003060682 -0.016800980
## PC13 PC14 PC15
## HighBP -0.585988402 -0.08847753 -0.18655896
## BMI 0.316706307 0.19736718 -0.05395146
## Smoker -0.006698845 0.03241176 -0.02610930
## Stroke 0.043461280 0.03579847 -0.12886628
## HeartDiseaseorAttack -0.143795436 0.00484345 0.05542146
## PhysActivity 0.013493987 -0.01277978 0.12707956
## HvyAlcoholConsump 0.073539002 -0.07393938 0.03663940
## AnyHealthcare -0.086324735 -0.03441972 -0.01159808
## GenHlth -0.102959393 0.06712893 0.78110078
## MentHlth 0.215903965 0.06667656 -0.02789805
## PhysHlth 0.117119501 -0.04146314 -0.54157819
## Sex 0.065262372 -0.23117564 0.06108071
## Age 0.622968346 0.18299730 0.06392318
## Education 0.179008537 -0.52007680 0.11000067
## Income -0.159175565 0.75892425 -0.01334982# Taking the first four PCs to generate linear combinations for all the variables with four factors
pcafactors.emp <- eigvec.emp[,1:4]
pcafactors.emp## PC1 PC2 PC3 PC4
## HighBP 0.326149229 0.246399261 -0.13303779 -0.26080449
## BMI 0.167626995 -0.101839483 0.04120408 -0.66482697
## Smoker 0.093333990 0.350190124 0.28938167 0.05229281
## Stroke 0.211842691 0.162241675 -0.13665199 0.37073969
## HeartDiseaseorAttack 0.239087419 0.316667386 0.01177870 0.29208452
## PhysActivity -0.291085313 -0.057618287 -0.03361984 0.27464859
## HvyAlcoholConsump -0.090283959 -0.002662284 0.24257599 0.16136839
## AnyHealthcare 0.005143826 0.329295696 -0.02590574 0.07389193
## GenHlth 0.440430257 -0.097915017 0.22701840 -0.03692534
## MentHlth 0.233893964 -0.265986788 0.38061240 0.30151528
## PhysHlth 0.349300603 -0.111540622 0.41669288 0.06206433
## Sex -0.079777876 0.433715325 0.43256510 -0.22683585
## Age 0.212579671 0.450806495 -0.35680625 0.04305580
## Education -0.320398143 0.186484273 0.19327836 -0.08877913
## Income -0.370084452 0.221427867 0.30917390 -0.01554688# Multiplying each column of the eigenvector’s matrix by the square-root of the corresponding eigenvalue in order to get the factor loadings
unrot.fact.emp <- sweep(pcafactors.emp,MARGIN=2,Diabetes_pca$sdev[1:4],`*`)
unrot.fact.emp## PC1 PC2 PC3 PC4
## HighBP 0.57555301 0.309000122 -0.14828986 -0.28048927
## BMI 0.29581006 -0.127713097 0.04592791 -0.71500621
## Smoker 0.16470577 0.439160370 0.32255772 0.05623972
## Stroke 0.37383715 0.203461232 -0.15231841 0.39872206
## HeartDiseaseorAttack 0.42191571 0.397120756 0.01312907 0.31413022
## PhysActivity -0.51367599 -0.072256945 -0.03747418 0.29537828
## HvyAlcoholConsump -0.15932340 -0.003338671 0.27038602 0.17354802
## AnyHealthcare 0.00907727 0.412957449 -0.02887570 0.07946908
## GenHlth 0.77722386 -0.122791570 0.25304484 -0.03971236
## MentHlth 0.41275086 -0.333564109 0.42424757 0.32427278
## PhysHlth 0.61640806 -0.139878933 0.46446448 0.06674877
## Sex -0.14078340 0.543906209 0.48215637 -0.24395677
## Age 0.37513770 0.565339609 -0.39771217 0.04630553
## Education -0.56540412 0.233862970 0.21543668 -0.09547993
## Income -0.65308516 0.277684427 0.34461903 -0.01672031# Computing communalities
communalities.emp <- rowSums(unrot.fact.emp^2)
communalities.emp## HighBP BMI Smoker
## 0.5274065 0.6171575 0.3271962
## Stroke HeartDiseaseorAttack PhysActivity
## 0.3633309 0.4345679 0.3577367
## HvyAlcoholConsump AnyHealthcare GenHlth
## 0.1286226 0.1777654 0.6847635
## MentHlth PhysHlth Sex
## 0.5667671 0.6197077 0.6076436
## Age Education Income
## 0.6206563 0.4299031 0.6226707# Performing the varimax rotation. The default in the varimax function is norm=TRUE thus, Kaiser normalization is carried out
rot.fact.emp <- varimax(unrot.fact.emp)
#View(unrot.fact.emp)
rot.fact.emp## $loadings
##
## Loadings:
## PC1 PC2 PC3 PC4
## HighBP 0.105 0.369 -0.617
## BMI -0.326 -0.709
## Smoker 0.189 0.316 0.435
## Stroke 0.187 0.541 -0.183
## HeartDiseaseorAttack 0.240 0.610
## PhysActivity -0.255 -0.115 0.529
## HvyAlcoholConsump 0.117 0.185 0.277
## AnyHealthcare -0.122 0.343 0.213
## GenHlth 0.693 0.153 -0.105 -0.412
## MentHlth 0.731 -0.109 0.142
## PhysHlth 0.758 -0.196
## Sex 0.770
## Age -0.178 0.695 -0.323
## Education -0.328 -0.184 0.473 0.254
## Income -0.295 -0.188 0.594 0.384
##
## PC1 PC2 PC3 PC4
## SS loadings 2.054 1.726 1.505 1.800
## Proportion Var 0.137 0.115 0.100 0.120
## Cumulative Var 0.137 0.252 0.352 0.472
##
## $rotmat
## [,1] [,2] [,3] [,4]
## [1,] 0.6474651 0.4259030 -0.2753267 -0.5688505
## [2,] -0.3171977 0.7066350 0.6186930 -0.1314214
## [3,] 0.6392987 -0.2848127 0.6912586 0.1798346
## [4,] 0.2673422 0.4880115 -0.2521424 0.7917052# The print method of varimax omits loadings less than abs(0.1). In order to display all the loadings, it is necessary to ask explicitly the contents of the object $loadings
fact.load.emp <- rot.fact.emp$loadings[1:9,1:4]
fact.load.emp## PC1 PC2 PC3 PC4
## HighBP 0.10484822 0.36883291 0.000927694 -0.616745276
## BMI 0.07024728 -0.32627229 0.051571859 -0.709302140
## Smoker 0.18858657 0.31605187 0.435147908 -0.048875693
## Stroke 0.18672735 0.54095439 -0.182873475 0.048881594
## HeartDiseaseorAttack 0.23958357 0.60987445 0.059401176 -0.041137523
## PhysActivity -0.25465763 -0.11501430 -0.003657891 0.528814294
## HvyAlcoholConsump 0.11715682 -0.06253148 0.184948212 0.277093596
## AnyHealthcare -0.12232667 0.34268224 0.212996554 -0.001711815
## GenHlth 0.69332893 0.15280265 -0.105028174 -0.411920974# Computing the rotated factor scores for the 30 European Countries. Notice that signs are reversed for factors F2 (PC2), F3 (PC3) and F4 (PC4)
scale.emp <- scale(Diabetes[-1])
scale.emp## HighBP BMI Smoker Stroke HeartDiseaseorAttack
## [1,] 0.8068523 -0.5541125 -0.9463298 -0.314516 -0.4622584
## [2,] 0.8068523 -0.5541125 1.0545964 3.173117 -0.4622584
## [3,] -1.2369005 -0.5541125 -0.9463298 -0.314516 -0.4622584
## [4,] 0.8068523 -0.2674332 1.0545964 -0.314516 -0.4622584
## [5,] -1.2369005 -0.1240936 1.0545964 -0.314516 -0.4622584
## [6,] -1.2369005 -1.7008294 -0.9463298 -0.314516 -0.4622584
## [7,] -1.2369005 -0.5541125 1.0545964 -0.314516 -0.4622584
## [8,] -1.2369005 0.1625856 1.0545964 -0.314516 -0.4622584
## [9,] -1.2369005 0.3059252 -0.9463298 -0.314516 -0.4622584
## [10,] -1.2369005 -0.4107729 1.0545964 -0.314516 -0.4622584
## [11,] 0.8068523 -0.8407917 1.0545964 -0.314516 2.1589569
## [12,] -1.2369005 -1.2708106 -0.9463298 -0.314516 -0.4622584
## [13,] 0.8068523 -0.4107729 -0.9463298 -0.314516 -0.4622584
## [14,] 0.8068523 4.0327553 -0.9463298 -0.314516 -0.4622584
## [15,] -1.2369005 -0.1240936 1.0545964 -0.314516 -0.4622584
## [16,] -1.2369005 -1.7008294 1.0545964 -0.314516 -0.4622584
## [17,] -1.2369005 0.0192460 -0.9463298 -0.314516 -0.4622584
## [18,] -1.2369005 0.0192460 1.0545964 -0.314516 -0.4622584
## [19,] -1.2369005 -1.4141502 -0.9463298 -0.314516 -0.4622584
## [20,] 0.8068523 -0.5541125 -0.9463298 -0.314516 -0.4622584
## [21,] -1.2369005 -1.1274709 -0.9463298 -0.314516 -0.4622584
## [22,] 0.8068523 -0.1240936 1.0545964 -0.314516 -0.4622584
## [23,] -1.2369005 -1.1274709 -0.9463298 -0.314516 -0.4622584
## [24,] -1.2369005 0.0192460 -0.9463298 -0.314516 -0.4622584
## [25,] -1.2369005 -0.4107729 -0.9463298 -0.314516 -0.4622584
## [26,] -1.2369005 -0.2674332 -0.9463298 -0.314516 -0.4622584
## [27,] 0.8068523 -1.4141502 1.0545964 -0.314516 -0.4622584
## [28,] 0.8068523 0.3059252 -0.9463298 -0.314516 -0.4622584
## [29,] -1.2369005 1.1659630 -0.9463298 -0.314516 -0.4622584
## [30,] -1.2369005 1.4526422 1.0545964 -0.314516 -0.4622584
## [31,] 0.8068523 -0.8407917 1.0545964 -0.314516 -0.4622584
## [32,] -1.2369005 -0.8407917 1.0545964 -0.314516 -0.4622584
## [33,] -1.2369005 -1.4141502 -0.9463298 -0.314516 -0.4622584
## [34,] -1.2369005 -1.4141502 -0.9463298 -0.314516 -0.4622584
## [35,] 0.8068523 -0.1240936 1.0545964 -0.314516 2.1589569
## [36,] -1.2369005 -0.8407917 -0.9463298 -0.314516 -0.4622584
## [37,] -1.2369005 -0.6974521 -0.9463298 -0.314516 -0.4622584
## [38,] -1.2369005 0.8792837 1.0545964 -0.314516 -0.4622584
## [39,] -1.2369005 0.1625856 1.0545964 -0.314516 -0.4622584
## [40,] -1.2369005 -0.4107729 1.0545964 -0.314516 -0.4622584
## [41,] -1.2369005 -0.5541125 -0.9463298 -0.314516 -0.4622584
## [42,] -1.2369005 -0.4107729 -0.9463298 -0.314516 -0.4622584
## [43,] 0.8068523 2.4560195 1.0545964 -0.314516 -0.4622584
## [44,] 0.8068523 1.1659630 1.0545964 -0.314516 -0.4622584
## [45,] 0.8068523 -0.2674332 -0.9463298 -0.314516 -0.4622584
## [46,] -1.2369005 -1.4141502 1.0545964 -0.314516 -0.4622584
## [47,] -1.2369005 -1.5574898 1.0545964 -0.314516 -0.4622584
## [48,] -1.2369005 -0.6974521 -0.9463298 -0.314516 -0.4622584
## [49,] -1.2369005 -0.5541125 -0.9463298 -0.314516 -0.4622584
## [50,] 0.8068523 -1.1274709 -0.9463298 -0.314516 -0.4622584
## [51,] 0.8068523 0.1625856 -0.9463298 -0.314516 -0.4622584
## [52,] -1.2369005 0.0192460 1.0545964 -0.314516 -0.4622584
## [53,] 0.8068523 1.0226233 1.0545964 -0.314516 2.1589569
## [54,] -1.2369005 0.1625856 -0.9463298 -0.314516 -0.4622584
## [55,] -1.2369005 -1.1274709 -0.9463298 -0.314516 -0.4622584
## [56,] -1.2369005 -0.5541125 -0.9463298 -0.314516 -0.4622584
## [57,] -1.2369005 1.5959818 -0.9463298 -0.314516 -0.4622584
## [58,] 0.8068523 -1.1274709 1.0545964 -0.314516 -0.4622584
## [59,] -1.2369005 -0.9841313 1.0545964 -0.314516 -0.4622584
## [60,] 0.8068523 0.5926045 1.0545964 -0.314516 -0.4622584
## [61,] -1.2369005 -0.4107729 1.0545964 -0.314516 -0.4622584
## [62,] 0.8068523 1.1659630 -0.9463298 -0.314516 -0.4622584
## [63,] 0.8068523 -1.5574898 1.0545964 -0.314516 2.1589569
## [64,] -1.2369005 -0.1240936 -0.9463298 -0.314516 -0.4622584
## [65,] -1.2369005 -0.4107729 -0.9463298 -0.314516 -0.4622584
## [66,] -1.2369005 -0.8407917 1.0545964 3.173117 -0.4622584
## [67,] 0.8068523 0.8792837 1.0545964 -0.314516 -0.4622584
## [68,] 0.8068523 0.7359441 1.0545964 -0.314516 2.1589569
## [69,] 0.8068523 0.3059252 -0.9463298 -0.314516 -0.4622584
## [70,] -1.2369005 1.7393214 -0.9463298 -0.314516 -0.4622584
## [71,] -1.2369005 -0.8407917 -0.9463298 -0.314516 -0.4622584
## [72,] -1.2369005 -0.6974521 1.0545964 -0.314516 -0.4622584
## [73,] 0.8068523 -1.2708106 1.0545964 -0.314516 -0.4622584
## [74,] -1.2369005 -0.9841313 -0.9463298 -0.314516 -0.4622584
## [75,] -1.2369005 -0.5541125 -0.9463298 -0.314516 -0.4622584
## [76,] 0.8068523 0.1625856 1.0545964 -0.314516 -0.4622584
## [77,] -1.2369005 -1.4141502 1.0545964 -0.314516 -0.4622584
## [78,] -1.2369005 1.0226233 -0.9463298 -0.314516 -0.4622584
## [79,] -1.2369005 -0.9841313 1.0545964 -0.314516 -0.4622584
## [80,] 0.8068523 0.5926045 1.0545964 -0.314516 -0.4622584
## [81,] -1.2369005 -1.8441690 -0.9463298 -0.314516 -0.4622584
## [82,] -1.2369005 1.0226233 1.0545964 -0.314516 -0.4622584
## [83,] 0.8068523 0.8792837 -0.9463298 -0.314516 -0.4622584
## [84,] -1.2369005 -1.2708106 -0.9463298 -0.314516 -0.4622584
## [85,] 0.8068523 1.4526422 1.0545964 -0.314516 -0.4622584
## [86,] -1.2369005 -1.1274709 -0.9463298 -0.314516 -0.4622584
## [87,] -1.2369005 0.4492649 -0.9463298 -0.314516 -0.4622584
## [88,] 0.8068523 -0.5541125 1.0545964 3.173117 2.1589569
## [89,] 0.8068523 0.0192460 -0.9463298 -0.314516 -0.4622584
## [90,] -1.2369005 0.3059252 1.0545964 -0.314516 -0.4622584
## [91,] 0.8068523 0.3059252 1.0545964 -0.314516 -0.4622584
## [92,] -1.2369005 -0.9841313 -0.9463298 -0.314516 -0.4622584
## [93,] 0.8068523 0.8792837 1.0545964 -0.314516 2.1589569
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## [133,] 0.8068523 -0.9841313 1.0545964 -0.314516 -0.4622584
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## [141,] -1.2369005 -1.4141502 -0.9463298 -0.314516 2.1589569
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## [169,] -1.2369005 -0.5541125 -0.9463298 -0.314516 2.1589569
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## [177,] -1.2369005 0.8792837 1.0545964 -0.314516 -0.4622584
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## [192,] 0.8068523 -0.2674332 -0.9463298 3.173117 2.1589569
## [193,] 0.8068523 3.1727176 1.0545964 -0.314516 -0.4622584
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## [195,] -1.2369005 -0.6974521 -0.9463298 -0.314516 -0.4622584
## [196,] 0.8068523 -0.6974521 1.0545964 -0.314516 2.1589569
## [197,] 0.8068523 -0.6974521 1.0545964 -0.314516 2.1589569
## [198,] -1.2369005 0.1625856 1.0545964 -0.314516 -0.4622584
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## [201,] -1.2369005 0.0192460 1.0545964 -0.314516 2.1589569
## [202,] -1.2369005 -0.1240936 -0.9463298 -0.314516 -0.4622584
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## [204,] -1.2369005 -1.1274709 1.0545964 -0.314516 -0.4622584
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## [212,] 0.8068523 0.8792837 -0.9463298 -0.314516 -0.4622584
## [213,] 0.8068523 1.1659630 1.0545964 -0.314516 -0.4622584
## [214,] 0.8068523 -0.2674332 1.0545964 -0.314516 2.1589569
## [215,] 0.8068523 -0.5541125 -0.9463298 3.173117 2.1589569
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## [227,] -1.2369005 -0.6974521 -0.9463298 -0.314516 2.1589569
## [228,] -1.2369005 -1.1274709 1.0545964 -0.314516 -0.4622584
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## [231,] 0.8068523 -0.2674332 1.0545964 3.173117 2.1589569
## [232,] 0.8068523 -0.4107729 -0.9463298 -0.314516 2.1589569
## [233,] -1.2369005 0.4492649 1.0545964 -0.314516 -0.4622584
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## [239,] 0.8068523 -0.2674332 1.0545964 -0.314516 -0.4622584
## [240,] 0.8068523 0.8792837 1.0545964 -0.314516 2.1589569
## [241,] -1.2369005 -1.5574898 -0.9463298 -0.314516 -0.4622584
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## [247,] 0.8068523 -1.1274709 -0.9463298 -0.314516 -0.4622584
## [248,] 0.8068523 -0.2674332 -0.9463298 -0.314516 2.1589569
## [249,] 0.8068523 0.4492649 1.0545964 -0.314516 -0.4622584
## [250,] 0.8068523 0.0192460 1.0545964 -0.314516 2.1589569
## [251,] -1.2369005 -0.6974521 1.0545964 -0.314516 -0.4622584
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## [254,] 0.8068523 -0.4107729 -0.9463298 -0.314516 -0.4622584
## [255,] 0.8068523 1.0226233 1.0545964 3.173117 2.1589569
## [256,] 0.8068523 -0.2674332 1.0545964 -0.314516 2.1589569
## [257,] 0.8068523 -0.4107729 1.0545964 -0.314516 -0.4622584
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## [261,] 0.8068523 0.4492649 1.0545964 -0.314516 -0.4622584
## [262,] 0.8068523 -0.4107729 1.0545964 -0.314516 -0.4622584
## [263,] 0.8068523 -0.4107729 -0.9463298 -0.314516 -0.4622584
## [264,] 0.8068523 -1.2708106 1.0545964 -0.314516 -0.4622584
## [265,] 0.8068523 -0.9841313 1.0545964 3.173117 2.1589569
## [266,] 0.8068523 -0.4107729 -0.9463298 -0.314516 2.1589569
## [267,] 0.8068523 0.7359441 -0.9463298 -0.314516 -0.4622584
## [268,] -1.2369005 0.3059252 -0.9463298 -0.314516 2.1589569
## [269,] 0.8068523 2.1693403 -0.9463298 -0.314516 -0.4622584
## [270,] 0.8068523 0.1625856 1.0545964 -0.314516 2.1589569
## [271,] 0.8068523 -0.1240936 1.0545964 -0.314516 -0.4622584
## [272,] -1.2369005 -0.1240936 1.0545964 3.173117 -0.4622584
## [273,] 0.8068523 -0.6974521 1.0545964 -0.314516 2.1589569
## [274,] -1.2369005 0.3059252 -0.9463298 -0.314516 -0.4622584
## [275,] 0.8068523 0.0192460 -0.9463298 -0.314516 -0.4622584
## [276,] 0.8068523 0.3059252 1.0545964 -0.314516 -0.4622584
## [277,] -1.2369005 -0.1240936 -0.9463298 -0.314516 -0.4622584
## [278,] 0.8068523 -0.8407917 1.0545964 -0.314516 -0.4622584
## [279,] 0.8068523 -0.2674332 -0.9463298 -0.314516 -0.4622584
## [280,] 0.8068523 -0.1240936 1.0545964 -0.314516 -0.4622584
## [281,] 0.8068523 -0.1240936 -0.9463298 -0.314516 -0.4622584
## [282,] 0.8068523 -0.5541125 -0.9463298 -0.314516 -0.4622584
## [283,] 0.8068523 0.4492649 -0.9463298 -0.314516 -0.4622584
## [284,] 0.8068523 2.4560195 1.0545964 -0.314516 -0.4622584
## [285,] 0.8068523 -0.4107729 -0.9463298 -0.314516 -0.4622584
## [286,] -1.2369005 0.5926045 1.0545964 -0.314516 -0.4622584
## [287,] 0.8068523 1.4526422 -0.9463298 -0.314516 -0.4622584
## [288,] 0.8068523 0.5926045 -0.9463298 -0.314516 -0.4622584
## [289,] 0.8068523 -0.1240936 1.0545964 -0.314516 -0.4622584
## [290,] 0.8068523 -0.2674332 -0.9463298 -0.314516 2.1589569
## [291,] 0.8068523 0.3059252 1.0545964 -0.314516 -0.4622584
## [292,] 0.8068523 1.0226233 -0.9463298 -0.314516 2.1589569
## [293,] 0.8068523 0.4492649 -0.9463298 -0.314516 -0.4622584
## [294,] 0.8068523 -0.1240936 1.0545964 3.173117 2.1589569
## [295,] 0.8068523 3.6027365 -0.9463298 -0.314516 -0.4622584
## [296,] 0.8068523 0.1625856 1.0545964 -0.314516 -0.4622584
## [297,] 0.8068523 -0.2674332 1.0545964 3.173117 -0.4622584
## [298,] 0.8068523 0.0192460 -0.9463298 -0.314516 -0.4622584
## [299,] 0.8068523 1.1659630 1.0545964 -0.314516 -0.4622584
## [300,] 0.8068523 -0.8407917 1.0545964 -0.314516 -0.4622584
## [301,] 0.8068523 0.3059252 -0.9463298 -0.314516 -0.4622584
## [302,] -1.2369005 0.5926045 1.0545964 -0.314516 -0.4622584
## [303,] 0.8068523 -0.5541125 1.0545964 -0.314516 2.1589569
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## [308,] 0.8068523 0.1625856 1.0545964 3.173117 2.1589569
## [309,] 0.8068523 -0.4107729 -0.9463298 -0.314516 -0.4622584
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## [312,] 0.8068523 -0.1240936 1.0545964 -0.314516 -0.4622584
## [313,] -1.2369005 0.0192460 1.0545964 -0.314516 -0.4622584
## [314,] 0.8068523 -1.2708106 -0.9463298 3.173117 -0.4622584
## [315,] 0.8068523 -0.6974521 -0.9463298 -0.314516 -0.4622584
## [316,] -1.2369005 0.0192460 1.0545964 -0.314516 -0.4622584
## [317,] 0.8068523 0.3059252 -0.9463298 -0.314516 2.1589569
## [318,] 0.8068523 -0.4107729 1.0545964 -0.314516 2.1589569
## [319,] 0.8068523 0.5926045 -0.9463298 -0.314516 2.1589569
## [320,] 0.8068523 -0.5541125 1.0545964 3.173117 -0.4622584
## [321,] 0.8068523 -0.9841313 -0.9463298 3.173117 -0.4622584
## [322,] 0.8068523 2.1693403 -0.9463298 -0.314516 -0.4622584
## [323,] 0.8068523 1.0226233 1.0545964 -0.314516 -0.4622584
## [324,] 0.8068523 0.1625856 1.0545964 -0.314516 2.1589569
## [325,] 0.8068523 -0.6974521 1.0545964 -0.314516 -0.4622584
## [326,] -1.2369005 1.8826610 -0.9463298 -0.314516 -0.4622584
## [327,] 0.8068523 -0.8407917 -0.9463298 -0.314516 -0.4622584
## [328,] 0.8068523 1.1659630 1.0545964 3.173117 -0.4622584
## [329,] 0.8068523 1.7393214 -0.9463298 -0.314516 -0.4622584
## [330,] -1.2369005 -0.5541125 1.0545964 -0.314516 -0.4622584
## [331,] 0.8068523 2.4560195 1.0545964 -0.314516 2.1589569
## [332,] 0.8068523 -0.6974521 -0.9463298 3.173117 2.1589569
## [333,] 0.8068523 0.1625856 -0.9463298 -0.314516 -0.4622584
## [334,] 0.8068523 2.0260007 1.0545964 -0.314516 -0.4622584
## [335,] 0.8068523 1.8826610 -0.9463298 -0.314516 -0.4622584
## [336,] 0.8068523 0.8792837 -0.9463298 3.173117 -0.4622584
## [337,] -1.2369005 0.0192460 -0.9463298 -0.314516 -0.4622584
## [338,] -1.2369005 -1.1274709 -0.9463298 -0.314516 -0.4622584
## [339,] 0.8068523 0.0192460 -0.9463298 -0.314516 -0.4622584
## [340,] 0.8068523 0.5926045 1.0545964 3.173117 -0.4622584
## [341,] 0.8068523 1.4526422 -0.9463298 -0.314516 -0.4622584
## [342,] 0.8068523 0.3059252 -0.9463298 -0.314516 -0.4622584
## [343,] 0.8068523 -0.2674332 -0.9463298 -0.314516 -0.4622584
## [344,] 0.8068523 1.4526422 -0.9463298 3.173117 -0.4622584
## [345,] 0.8068523 0.5926045 1.0545964 -0.314516 -0.4622584
## [346,] 0.8068523 0.0192460 -0.9463298 -0.314516 2.1589569
## [347,] 0.8068523 0.7359441 1.0545964 -0.314516 -0.4622584
## [348,] 0.8068523 2.7426988 -0.9463298 3.173117 2.1589569
## [349,] 0.8068523 -0.2674332 -0.9463298 -0.314516 -0.4622584
## [350,] 0.8068523 -0.9841313 1.0545964 3.173117 -0.4622584
## [351,] 0.8068523 0.7359441 -0.9463298 3.173117 2.1589569
## [352,] 0.8068523 1.8826610 -0.9463298 -0.314516 -0.4622584
## [353,] 0.8068523 -0.5541125 -0.9463298 -0.314516 -0.4622584
## [354,] -1.2369005 -0.6974521 1.0545964 -0.314516 2.1589569
## [355,] -1.2369005 1.3093026 1.0545964 -0.314516 -0.4622584
## [356,] -1.2369005 0.1625856 1.0545964 -0.314516 -0.4622584
## [357,] 0.8068523 0.8792837 -0.9463298 -0.314516 -0.4622584
## [358,] 0.8068523 0.4492649 -0.9463298 3.173117 -0.4622584
## [359,] 0.8068523 -0.8407917 -0.9463298 -0.314516 -0.4622584
## [360,] 0.8068523 -0.8407917 -0.9463298 -0.314516 -0.4622584
## [361,] 0.8068523 1.4526422 1.0545964 -0.314516 -0.4622584
## [362,] -1.2369005 1.7393214 1.0545964 3.173117 -0.4622584
## [363,] 0.8068523 -0.8407917 1.0545964 -0.314516 -0.4622584
## [364,] 0.8068523 -0.1240936 1.0545964 -0.314516 2.1589569
## [365,] 0.8068523 0.5926045 1.0545964 -0.314516 2.1589569
## [366,] 0.8068523 0.4492649 -0.9463298 -0.314516 2.1589569
## [367,] 0.8068523 -0.8407917 -0.9463298 -0.314516 -0.4622584
## [368,] 0.8068523 1.3093026 -0.9463298 -0.314516 -0.4622584
## [369,] 0.8068523 0.8792837 1.0545964 -0.314516 2.1589569
## [370,] 0.8068523 -0.8407917 1.0545964 -0.314516 2.1589569
## [371,] 0.8068523 -0.2674332 -0.9463298 -0.314516 -0.4622584
## [372,] 0.8068523 0.0192460 -0.9463298 -0.314516 -0.4622584
## [373,] -1.2369005 0.0192460 -0.9463298 -0.314516 -0.4622584
## [374,] -1.2369005 0.4492649 1.0545964 -0.314516 -0.4622584
## [375,] 0.8068523 -0.4107729 1.0545964 -0.314516 -0.4622584
## [376,] 0.8068523 -0.4107729 -0.9463298 -0.314516 2.1589569
## [377,] 0.8068523 0.0192460 1.0545964 -0.314516 -0.4622584
## [378,] -1.2369005 -0.5541125 -0.9463298 -0.314516 -0.4622584
## [379,] 0.8068523 -0.5541125 -0.9463298 -0.314516 -0.4622584
## [380,] 0.8068523 0.8792837 1.0545964 -0.314516 -0.4622584
## [381,] 0.8068523 0.7359441 1.0545964 -0.314516 2.1589569
## [382,] 0.8068523 0.3059252 1.0545964 -0.314516 2.1589569
## [383,] 0.8068523 1.7393214 -0.9463298 -0.314516 2.1589569
## [384,] 0.8068523 1.8826610 -0.9463298 -0.314516 -0.4622584
## [385,] 0.8068523 -0.1240936 1.0545964 3.173117 2.1589569
## [386,] 0.8068523 0.0192460 -0.9463298 -0.314516 -0.4622584
## [387,] 0.8068523 -0.6974521 -0.9463298 -0.314516 -0.4622584
## [388,] 0.8068523 0.0192460 1.0545964 -0.314516 -0.4622584
## [389,] -1.2369005 -1.1274709 1.0545964 -0.314516 -0.4622584
## [390,] 0.8068523 0.3059252 -0.9463298 -0.314516 -0.4622584
## [391,] 0.8068523 0.8792837 1.0545964 -0.314516 -0.4622584
## [392,] -1.2369005 -0.1240936 -0.9463298 -0.314516 -0.4622584
## [393,] -1.2369005 -1.4141502 1.0545964 -0.314516 2.1589569
## [394,] -1.2369005 -0.1240936 1.0545964 -0.314516 -0.4622584
## [395,] -1.2369005 -0.4107729 -0.9463298 -0.314516 -0.4622584
## [396,] 0.8068523 -0.1240936 1.0545964 -0.314516 -0.4622584
## [397,] -1.2369005 0.5926045 -0.9463298 -0.314516 -0.4622584
## [398,] 0.8068523 -0.4107729 -0.9463298 3.173117 2.1589569
## [399,] 0.8068523 -0.2674332 -0.9463298 3.173117 2.1589569
## [400,] 0.8068523 0.3059252 1.0545964 -0.314516 -0.4622584
## [401,] 0.8068523 -0.8407917 -0.9463298 -0.314516 -0.4622584
## [402,] 0.8068523 1.0226233 -0.9463298 3.173117 2.1589569
## [403,] 0.8068523 0.0192460 -0.9463298 -0.314516 -0.4622584
## [404,] 0.8068523 -0.1240936 -0.9463298 -0.314516 -0.4622584
## [405,] -1.2369005 0.4492649 -0.9463298 -0.314516 -0.4622584
## [406,] 0.8068523 -0.5541125 -0.9463298 -0.314516 -0.4622584
## [407,] 0.8068523 0.0192460 -0.9463298 -0.314516 -0.4622584
## [408,] 0.8068523 -0.2674332 1.0545964 -0.314516 2.1589569
## [409,] 0.8068523 -0.2674332 1.0545964 -0.314516 -0.4622584
## [410,] 0.8068523 -1.2708106 1.0545964 -0.314516 -0.4622584
## [411,] 0.8068523 -0.6974521 -0.9463298 -0.314516 -0.4622584
## [412,] 0.8068523 4.1760949 -0.9463298 -0.314516 -0.4622584
## [413,] 0.8068523 0.7359441 1.0545964 3.173117 -0.4622584
## [414,] 0.8068523 -0.5541125 -0.9463298 -0.314516 -0.4622584
## [415,] -1.2369005 0.3059252 1.0545964 -0.314516 -0.4622584
## [416,] 0.8068523 1.8826610 -0.9463298 -0.314516 -0.4622584
## [417,] -1.2369005 -0.4107729 -0.9463298 -0.314516 -0.4622584
## [418,] -1.2369005 -0.5541125 1.0545964 -0.314516 -0.4622584
## [419,] 0.8068523 -0.5541125 1.0545964 -0.314516 2.1589569
## [420,] 0.8068523 0.3059252 -0.9463298 -0.314516 -0.4622584
## [421,] 0.8068523 0.0192460 -0.9463298 -0.314516 -0.4622584
## [422,] 0.8068523 1.0226233 -0.9463298 -0.314516 -0.4622584
## [423,] 0.8068523 -0.6974521 1.0545964 -0.314516 -0.4622584
## [424,] 0.8068523 0.0192460 -0.9463298 -0.314516 -0.4622584
## [425,] 0.8068523 -0.6974521 1.0545964 -0.314516 2.1589569
## [426,] 0.8068523 0.5926045 1.0545964 -0.314516 -0.4622584
## [427,] 0.8068523 0.3059252 -0.9463298 -0.314516 -0.4622584
## [428,] 0.8068523 3.1727176 1.0545964 -0.314516 -0.4622584
## [429,] -1.2369005 0.8792837 -0.9463298 -0.314516 -0.4622584
## [430,] 0.8068523 -0.2674332 -0.9463298 -0.314516 -0.4622584
## [431,] -1.2369005 0.0192460 1.0545964 -0.314516 -0.4622584
## [432,] 0.8068523 1.5959818 1.0545964 -0.314516 -0.4622584
## [433,] 0.8068523 -0.9841313 -0.9463298 -0.314516 -0.4622584
## [434,] 0.8068523 0.1625856 -0.9463298 -0.314516 2.1589569
## [435,] 0.8068523 1.5959818 -0.9463298 -0.314516 -0.4622584
## [436,] -1.2369005 -0.6974521 -0.9463298 -0.314516 -0.4622584
## [437,] 0.8068523 -0.6974521 -0.9463298 -0.314516 -0.4622584
## [438,] 0.8068523 0.5926045 1.0545964 -0.314516 -0.4622584
## [439,] 0.8068523 0.3059252 -0.9463298 -0.314516 2.1589569
## [440,] 0.8068523 0.4492649 -0.9463298 -0.314516 -0.4622584
## [441,] 0.8068523 0.1625856 -0.9463298 -0.314516 -0.4622584
## [442,] 0.8068523 -0.6974521 1.0545964 -0.314516 2.1589569
## [443,] 0.8068523 1.4526422 1.0545964 -0.314516 -0.4622584
## [444,] 0.8068523 0.1625856 1.0545964 3.173117 2.1589569
## [445,] 0.8068523 0.5926045 -0.9463298 3.173117 2.1589569
## [446,] 0.8068523 0.1625856 1.0545964 -0.314516 -0.4622584
## [447,] 0.8068523 0.0192460 1.0545964 3.173117 -0.4622584
## [448,] 0.8068523 -0.2674332 -0.9463298 -0.314516 -0.4622584
## [449,] -1.2369005 0.1625856 -0.9463298 3.173117 2.1589569
## [450,] -1.2369005 -1.1274709 1.0545964 -0.314516 -0.4622584
## [451,] -1.2369005 0.8792837 -0.9463298 -0.314516 2.1589569
## [452,] -1.2369005 1.5959818 -0.9463298 -0.314516 -0.4622584
## [453,] 0.8068523 0.7359441 -0.9463298 -0.314516 -0.4622584
## [454,] 0.8068523 0.5926045 1.0545964 -0.314516 -0.4622584
## [455,] 0.8068523 -0.4107729 1.0545964 3.173117 2.1589569
## [456,] 0.8068523 -0.6974521 1.0545964 -0.314516 -0.4622584
## [457,] 0.8068523 -1.4141502 -0.9463298 3.173117 2.1589569
## [458,] 0.8068523 -0.2674332 1.0545964 -0.314516 -0.4622584
## [459,] -1.2369005 2.3126799 -0.9463298 -0.314516 2.1589569
## [460,] 0.8068523 0.3059252 1.0545964 -0.314516 -0.4622584
## [461,] 0.8068523 0.4492649 1.0545964 -0.314516 2.1589569
## [462,] 0.8068523 1.7393214 1.0545964 -0.314516 -0.4622584
## [463,] 0.8068523 0.1625856 1.0545964 -0.314516 2.1589569
## [464,] 0.8068523 2.1693403 -0.9463298 -0.314516 -0.4622584
## [465,] 0.8068523 -0.6974521 1.0545964 -0.314516 -0.4622584
## [466,] 0.8068523 -0.9841313 -0.9463298 3.173117 -0.4622584
## [467,] 0.8068523 0.7359441 1.0545964 -0.314516 -0.4622584
## [468,] 0.8068523 1.0226233 1.0545964 -0.314516 -0.4622584
## [469,] 0.8068523 2.1693403 -0.9463298 -0.314516 -0.4622584
## [470,] -1.2369005 -0.5541125 -0.9463298 -0.314516 -0.4622584
## [471,] 0.8068523 0.4492649 1.0545964 -0.314516 2.1589569
## [472,] 0.8068523 0.4492649 -0.9463298 -0.314516 -0.4622584
## [473,] 0.8068523 0.5926045 -0.9463298 -0.314516 2.1589569
## [474,] 0.8068523 1.0226233 -0.9463298 -0.314516 -0.4622584
## [475,] 0.8068523 0.3059252 -0.9463298 -0.314516 -0.4622584
## [476,] 0.8068523 1.0226233 1.0545964 -0.314516 -0.4622584
## [477,] 0.8068523 0.3059252 1.0545964 -0.314516 2.1589569
## [478,] 0.8068523 1.8826610 1.0545964 -0.314516 -0.4622584
## [479,] 0.8068523 0.4492649 1.0545964 -0.314516 -0.4622584
## [480,] -1.2369005 -1.2708106 -0.9463298 -0.314516 -0.4622584
## [481,] 0.8068523 1.0226233 1.0545964 -0.314516 2.1589569
## [482,] 0.8068523 -0.1240936 -0.9463298 3.173117 -0.4622584
## [483,] 0.8068523 0.3059252 1.0545964 -0.314516 -0.4622584
## [484,] 0.8068523 -0.6974521 1.0545964 -0.314516 -0.4622584
## [485,] 0.8068523 -0.8407917 -0.9463298 -0.314516 -0.4622584
## [486,] 0.8068523 1.5959818 1.0545964 -0.314516 -0.4622584
## [487,] 0.8068523 -0.6974521 -0.9463298 -0.314516 -0.4622584
## [488,] 0.8068523 1.8826610 -0.9463298 -0.314516 -0.4622584
## [489,] 0.8068523 -0.2674332 -0.9463298 -0.314516 -0.4622584
## [490,] 0.8068523 1.7393214 1.0545964 -0.314516 -0.4622584
## [491,] -1.2369005 2.5993591 -0.9463298 3.173117 2.1589569
## [492,] 0.8068523 1.0226233 -0.9463298 -0.314516 -0.4622584
## [493,] 0.8068523 -1.7008294 1.0545964 3.173117 2.1589569
## [494,] -1.2369005 -0.4107729 -0.9463298 -0.314516 -0.4622584
## [495,] 0.8068523 0.5926045 1.0545964 -0.314516 2.1589569
## [496,] 0.8068523 2.7426988 1.0545964 -0.314516 -0.4622584
## [497,] -1.2369005 1.3093026 1.0545964 -0.314516 -0.4622584
## [498,] 0.8068523 1.0226233 1.0545964 -0.314516 -0.4622584
## [499,] 0.8068523 1.0226233 -0.9463298 -0.314516 2.1589569
## PhysActivity HvyAlcoholConsump AnyHealthcare GenHlth MentHlth
## [1,] 0.7085224 -0.2041323 0.2294274 0.08247803 0.16078180
## [2,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [3,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [4,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [5,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [6,] 0.7085224 -0.2041323 -4.3499430 -0.77494985 0.41427348
## [7,] 0.7085224 4.8889676 0.2294274 -1.63237772 -0.47294740
## [8,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [9,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [10,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [11,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [12,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [13,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [14,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.09270988
## [15,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [16,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [17,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [18,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [19,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [20,] -1.4085595 -0.2041323 -4.3499430 0.08247803 -0.47294740
## [21,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [22,] 0.7085224 -0.2041323 0.2294274 1.79733379 -0.47294740
## [23,] 0.7085224 4.8889676 0.2294274 -0.77494985 -0.47294740
## [24,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [25,] 0.7085224 -0.2041323 0.2294274 0.08247803 0.03403596
## [26,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.21945572
## [27,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [28,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [29,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.21945572
## [30,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [31,] 0.7085224 -0.2041323 0.2294274 0.93990591 3.32942778
## [32,] 0.7085224 -0.2041323 0.2294274 -0.77494985 0.16078180
## [33,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [34,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [35,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [36,] 0.7085224 -0.2041323 0.2294274 -1.63237772 2.06196939
## [37,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [38,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [39,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [40,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [41,] 0.7085224 4.8889676 0.2294274 0.08247803 -0.34620156
## [42,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [43,] -1.4085595 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [44,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [45,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [46,] -1.4085595 -0.2041323 0.2294274 1.79733379 0.41427348
## [47,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [48,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.21945572
## [49,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [50,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [51,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [52,] 0.7085224 -0.2041323 0.2294274 1.79733379 1.42824019
## [53,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [54,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.34620156
## [55,] 0.7085224 -0.2041323 0.2294274 -1.63237772 0.16078180
## [56,] -1.4085595 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [57,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [58,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [59,] 0.7085224 4.8889676 0.2294274 -1.63237772 -0.47294740
## [60,] -1.4085595 -0.2041323 0.2294274 1.79733379 2.06196939
## [61,] 0.7085224 -0.2041323 0.2294274 0.93990591 0.79451099
## [62,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [63,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [64,] 0.7085224 -0.2041323 0.2294274 -0.77494985 1.42824019
## [65,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [66,] 0.7085224 -0.2041323 0.2294274 1.79733379 3.32942778
## [67,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [68,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [69,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [70,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [71,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [72,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.21945572
## [73,] -1.4085595 -0.2041323 0.2294274 1.79733379 3.32942778
## [74,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [75,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [76,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [77,] 0.7085224 -0.2041323 0.2294274 -0.77494985 0.41427348
## [78,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [79,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [80,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [81,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [82,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [83,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [84,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [85,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [86,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.21945572
## [87,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [88,] -1.4085595 -0.2041323 0.2294274 1.79733379 2.69569859
## [89,] -1.4085595 -0.2041323 -4.3499430 0.93990591 1.42824019
## [90,] -1.4085595 -0.2041323 -4.3499430 -0.77494985 -0.47294740
## [91,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [92,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [93,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [94,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [95,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [96,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [97,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [98,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [99,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.21945572
## [100,] 0.7085224 4.8889676 -4.3499430 -0.77494985 -0.21945572
## [101,] -1.4085595 -0.2041323 0.2294274 0.93990591 1.30149435
## [102,] -1.4085595 -0.2041323 0.2294274 0.08247803 2.06196939
## [103,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [104,] -1.4085595 -0.2041323 0.2294274 0.08247803 3.32942778
## [105,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.21945572
## [106,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [107,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [108,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [109,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [110,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [111,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [112,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [113,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [114,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [115,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [116,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [117,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [118,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.21945572
## [119,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [120,] -1.4085595 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [121,] 0.7085224 -0.2041323 0.2294274 0.93990591 2.06196939
## [122,] 0.7085224 -0.2041323 -4.3499430 -0.77494985 3.32942778
## [123,] 0.7085224 -0.2041323 0.2294274 -0.77494985 0.16078180
## [124,] 0.7085224 4.8889676 0.2294274 0.08247803 -0.09270988
## [125,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [126,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [127,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [128,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.34620156
## [129,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [130,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [131,] 0.7085224 -0.2041323 0.2294274 1.79733379 3.32942778
## [132,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.21945572
## [133,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [134,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [135,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [136,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [137,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [138,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [139,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [140,] 0.7085224 -0.2041323 -4.3499430 0.08247803 -0.47294740
## [141,] 0.7085224 -0.2041323 0.2294274 1.79733379 3.07593610
## [142,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [143,] 0.7085224 -0.2041323 -4.3499430 -1.63237772 -0.34620156
## [144,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [145,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.21945572
## [146,] 0.7085224 -0.2041323 -4.3499430 -1.63237772 -0.47294740
## [147,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [148,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.34620156
## [149,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [150,] 0.7085224 4.8889676 0.2294274 0.08247803 -0.47294740
## [151,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [152,] 0.7085224 -0.2041323 0.2294274 1.79733379 0.16078180
## [153,] 0.7085224 -0.2041323 0.2294274 -1.63237772 0.03403596
## [154,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [155,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.21945572
## [156,] 0.7085224 -0.2041323 0.2294274 -0.77494985 3.32942778
## [157,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.34620156
## [158,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [159,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [160,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.34620156
## [161,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.09270988
## [162,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [163,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [164,] -1.4085595 4.8889676 0.2294274 1.79733379 0.79451099
## [165,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [166,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [167,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [168,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [169,] -1.4085595 -0.2041323 -4.3499430 -1.63237772 -0.47294740
## [170,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [171,] 0.7085224 -0.2041323 0.2294274 0.08247803 1.30149435
## [172,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [173,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [174,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [175,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [176,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [177,] 0.7085224 -0.2041323 0.2294274 -0.77494985 0.41427348
## [178,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [179,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.21945572
## [180,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.21945572
## [181,] -1.4085595 -0.2041323 0.2294274 1.79733379 3.32942778
## [182,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.09270988
## [183,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.09270988
## [184,] 0.7085224 -0.2041323 0.2294274 0.08247803 0.79451099
## [185,] 0.7085224 -0.2041323 -4.3499430 0.93990591 -0.47294740
## [186,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [187,] 0.7085224 -0.2041323 -4.3499430 0.93990591 -0.47294740
## [188,] 0.7085224 4.8889676 0.2294274 0.93990591 1.42824019
## [189,] 0.7085224 4.8889676 0.2294274 -1.63237772 -0.47294740
## [190,] 0.7085224 -0.2041323 0.2294274 1.79733379 -0.21945572
## [191,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [192,] -1.4085595 -0.2041323 0.2294274 0.08247803 0.79451099
## [193,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [194,] 0.7085224 -0.2041323 0.2294274 0.93990591 3.32942778
## [195,] 0.7085224 -0.2041323 -4.3499430 -0.77494985 -0.47294740
## [196,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [197,] 0.7085224 4.8889676 0.2294274 0.08247803 -0.47294740
## [198,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [199,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [200,] -1.4085595 -0.2041323 0.2294274 1.79733379 0.79451099
## [201,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.09270988
## [202,] -1.4085595 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [203,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [204,] -1.4085595 -0.2041323 0.2294274 0.08247803 3.32942778
## [205,] 0.7085224 -0.2041323 0.2294274 -0.77494985 0.16078180
## [206,] 0.7085224 -0.2041323 0.2294274 0.08247803 2.06196939
## [207,] 0.7085224 -0.2041323 0.2294274 0.08247803 0.16078180
## [208,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [209,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [210,] 0.7085224 -0.2041323 0.2294274 -0.77494985 3.32942778
## [211,] 0.7085224 -0.2041323 0.2294274 0.08247803 1.30149435
## [212,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [213,] 0.7085224 -0.2041323 0.2294274 0.93990591 0.16078180
## [214,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [215,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [216,] 0.7085224 4.8889676 0.2294274 -0.77494985 -0.47294740
## [217,] 0.7085224 -0.2041323 0.2294274 0.08247803 1.30149435
## [218,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [219,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [220,] -1.4085595 -0.2041323 -4.3499430 -0.77494985 -0.47294740
## [221,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [222,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [223,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [224,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.21945572
## [225,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [226,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [227,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [228,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [229,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [230,] 0.7085224 -0.2041323 0.2294274 -0.77494985 3.07593610
## [231,] -1.4085595 -0.2041323 -4.3499430 0.93990591 1.42824019
## [232,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [233,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [234,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [235,] 0.7085224 4.8889676 0.2294274 -0.77494985 -0.47294740
## [236,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [237,] 0.7085224 -0.2041323 0.2294274 -1.63237772 0.03403596
## [238,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [239,] 0.7085224 -0.2041323 0.2294274 0.08247803 3.32942778
## [240,] 0.7085224 -0.2041323 0.2294274 0.08247803 3.32942778
## [241,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [242,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.21945572
## [243,] 0.7085224 4.8889676 0.2294274 -0.77494985 -0.47294740
## [244,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [245,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [246,] 0.7085224 -0.2041323 0.2294274 -0.77494985 0.16078180
## [247,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [248,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [249,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [250,] -1.4085595 -0.2041323 0.2294274 1.79733379 3.32942778
## [251,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [252,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [253,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [254,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [255,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [256,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [257,] -1.4085595 -0.2041323 0.2294274 0.93990591 2.06196939
## [258,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [259,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [260,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [261,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [262,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [263,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [264,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [265,] -1.4085595 -0.2041323 0.2294274 -1.63237772 -0.21945572
## [266,] 0.7085224 -0.2041323 0.2294274 -0.77494985 0.03403596
## [267,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [268,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [269,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.21945572
## [270,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [271,] 0.7085224 4.8889676 0.2294274 0.08247803 -0.47294740
## [272,] 0.7085224 -0.2041323 0.2294274 0.93990591 3.32942778
## [273,] -1.4085595 -0.2041323 0.2294274 1.79733379 1.42824019
## [274,] 0.7085224 -0.2041323 -4.3499430 0.93990591 -0.47294740
## [275,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [276,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [277,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [278,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [279,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [280,] 0.7085224 4.8889676 0.2294274 0.08247803 -0.47294740
## [281,] -1.4085595 -0.2041323 -4.3499430 0.93990591 -0.21945572
## [282,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [283,] 0.7085224 -0.2041323 0.2294274 1.79733379 -0.09270988
## [284,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [285,] 0.7085224 -0.2041323 0.2294274 0.08247803 1.30149435
## [286,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [287,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.21945572
## [288,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [289,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [290,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [291,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [292,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [293,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [294,] -1.4085595 -0.2041323 0.2294274 0.93990591 1.42824019
## [295,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [296,] 0.7085224 -0.2041323 0.2294274 0.08247803 0.03403596
## [297,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [298,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [299,] -1.4085595 -0.2041323 0.2294274 1.79733379 1.42824019
## [300,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [301,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [302,] -1.4085595 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [303,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [304,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [305,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [306,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [307,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [308,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [309,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [310,] 0.7085224 -0.2041323 0.2294274 0.93990591 0.79451099
## [311,] -1.4085595 -0.2041323 0.2294274 0.93990591 1.30149435
## [312,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [313,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [314,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.09270988
## [315,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [316,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [317,] 0.7085224 -0.2041323 0.2294274 1.79733379 0.79451099
## [318,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [319,] 0.7085224 -0.2041323 0.2294274 0.08247803 0.41427348
## [320,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [321,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [322,] -1.4085595 -0.2041323 0.2294274 0.93990591 0.79451099
## [323,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [324,] 0.7085224 -0.2041323 0.2294274 1.79733379 1.42824019
## [325,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.09270988
## [326,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [327,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [328,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [329,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [330,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [331,] -1.4085595 -0.2041323 0.2294274 1.79733379 2.06196939
## [332,] 0.7085224 -0.2041323 0.2294274 0.93990591 0.16078180
## [333,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [334,] 0.7085224 -0.2041323 0.2294274 0.93990591 1.55498603
## [335,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [336,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [337,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [338,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [339,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [340,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.09270988
## [341,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [342,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [343,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [344,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [345,] -1.4085595 -0.2041323 -4.3499430 0.93990591 -0.21945572
## [346,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.21945572
## [347,] 0.7085224 -0.2041323 0.2294274 0.93990591 0.03403596
## [348,] -1.4085595 -0.2041323 -4.3499430 0.08247803 0.79451099
## [349,] -1.4085595 -0.2041323 0.2294274 1.79733379 2.69569859
## [350,] 0.7085224 4.8889676 0.2294274 0.93990591 -0.21945572
## [351,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [352,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.09270988
## [353,] 0.7085224 -0.2041323 0.2294274 0.08247803 2.06196939
## [354,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [355,] -1.4085595 -0.2041323 -4.3499430 0.08247803 0.16078180
## [356,] 0.7085224 4.8889676 0.2294274 -0.77494985 -0.47294740
## [357,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.09270988
## [358,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [359,] 0.7085224 -0.2041323 0.2294274 0.08247803 0.16078180
## [360,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [361,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [362,] -1.4085595 -0.2041323 0.2294274 1.79733379 0.41427348
## [363,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [364,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [365,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [366,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [367,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [368,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [369,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [370,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [371,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [372,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [373,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [374,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [375,] -1.4085595 -0.2041323 0.2294274 0.93990591 1.42824019
## [376,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [377,] 0.7085224 -0.2041323 0.2294274 0.08247803 3.32942778
## [378,] 0.7085224 -0.2041323 -4.3499430 -0.77494985 -0.47294740
## [379,] 0.7085224 -0.2041323 -4.3499430 -0.77494985 -0.21945572
## [380,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [381,] -1.4085595 -0.2041323 0.2294274 0.93990591 3.32942778
## [382,] 0.7085224 -0.2041323 0.2294274 0.08247803 3.32942778
## [383,] 0.7085224 -0.2041323 0.2294274 1.79733379 3.32942778
## [384,] -1.4085595 -0.2041323 0.2294274 1.79733379 0.79451099
## [385,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [386,] 0.7085224 -0.2041323 0.2294274 0.93990591 1.42824019
## [387,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [388,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [389,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [390,] 0.7085224 -0.2041323 0.2294274 0.08247803 3.32942778
## [391,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [392,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [393,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [394,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [395,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.09270988
## [396,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [397,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [398,] -1.4085595 -0.2041323 0.2294274 1.79733379 3.32942778
## [399,] 0.7085224 -0.2041323 0.2294274 0.08247803 0.79451099
## [400,] -1.4085595 -0.2041323 0.2294274 1.79733379 3.32942778
## [401,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [402,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [403,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [404,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [405,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.34620156
## [406,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [407,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [408,] -1.4085595 4.8889676 0.2294274 0.08247803 -0.47294740
## [409,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [410,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [411,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [412,] 0.7085224 -0.2041323 -4.3499430 0.08247803 -0.47294740
## [413,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [414,] 0.7085224 -0.2041323 0.2294274 1.79733379 0.79451099
## [415,] 0.7085224 -0.2041323 0.2294274 0.08247803 1.42824019
## [416,] 0.7085224 -0.2041323 0.2294274 0.08247803 3.32942778
## [417,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [418,] -1.4085595 -0.2041323 0.2294274 1.79733379 0.79451099
## [419,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [420,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [421,] 0.7085224 -0.2041323 -4.3499430 0.93990591 3.32942778
## [422,] -1.4085595 -0.2041323 0.2294274 0.08247803 1.42824019
## [423,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [424,] -1.4085595 -0.2041323 0.2294274 0.93990591 0.03403596
## [425,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.34620156
## [426,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [427,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [428,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [429,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [430,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [431,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [432,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [433,] 0.7085224 -0.2041323 0.2294274 0.93990591 0.79451099
## [434,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [435,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.21945572
## [436,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [437,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [438,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [439,] 0.7085224 -0.2041323 0.2294274 1.79733379 3.32942778
## [440,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [441,] 0.7085224 -0.2041323 0.2294274 -1.63237772 -0.47294740
## [442,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [443,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [444,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [445,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.34620156
## [446,] 0.7085224 -0.2041323 0.2294274 0.08247803 0.28752764
## [447,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [448,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [449,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [450,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [451,] -1.4085595 -0.2041323 0.2294274 0.08247803 1.30149435
## [452,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [453,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [454,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.09270988
## [455,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [456,] 0.7085224 -0.2041323 0.2294274 -0.77494985 1.42824019
## [457,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [458,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [459,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [460,] 0.7085224 -0.2041323 0.2294274 1.79733379 2.06196939
## [461,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [462,] 0.7085224 -0.2041323 0.2294274 -1.63237772 0.16078180
## [463,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [464,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.09270988
## [465,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [466,] 0.7085224 -0.2041323 0.2294274 1.79733379 -0.47294740
## [467,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.09270988
## [468,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [469,] -1.4085595 -0.2041323 0.2294274 0.93990591 1.42824019
## [470,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [471,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [472,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [473,] -1.4085595 -0.2041323 0.2294274 0.08247803 -0.47294740
## [474,] -1.4085595 -0.2041323 0.2294274 0.08247803 0.41427348
## [475,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [476,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [477,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [478,] 0.7085224 -0.2041323 0.2294274 0.93990591 -0.47294740
## [479,] 0.7085224 -0.2041323 -4.3499430 1.79733379 3.32942778
## [480,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [481,] -1.4085595 -0.2041323 0.2294274 0.93990591 0.16078180
## [482,] -1.4085595 -0.2041323 0.2294274 1.79733379 1.42824019
## [483,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.47294740
## [484,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [485,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [486,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [487,] -1.4085595 -0.2041323 0.2294274 0.93990591 -0.47294740
## [488,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [489,] -1.4085595 4.8889676 0.2294274 -0.77494985 -0.47294740
## [490,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [491,] 0.7085224 -0.2041323 0.2294274 0.93990591 0.79451099
## [492,] 0.7085224 -0.2041323 0.2294274 0.93990591 0.16078180
## [493,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## [494,] 0.7085224 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [495,] -1.4085595 -0.2041323 0.2294274 -0.77494985 -0.47294740
## [496,] -1.4085595 -0.2041323 0.2294274 0.08247803 0.41427348
## [497,] 0.7085224 -0.2041323 0.2294274 0.08247803 -0.21945572
## [498,] 0.7085224 -0.2041323 0.2294274 0.08247803 1.42824019
## [499,] -1.4085595 -0.2041323 0.2294274 1.79733379 -0.47294740
## PhysHlth Sex Age Education Income
## [1,] 2.44794691 1.2214762 -1.81942565 1.1073643 1.1197206
## [2,] -0.59445784 1.2214762 1.13547557 1.1073643 1.1197206
## [3,] 0.41967708 1.2214762 1.50483822 1.1073643 1.1197206
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## [18,] -0.59445784 1.2214762 0.39675026 1.1073643 0.6759235
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## [21,] -0.59445784 -0.8170409 -1.08070034 1.1073643 1.1197206
## [22,] 2.44794691 1.2214762 0.39675026 0.1480331 1.1197206
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## [26,] -0.49304435 1.2214762 -0.34197504 0.1480331 1.1197206
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## [35,] -0.59445784 1.2214762 0.76611291 0.1480331 0.2321264
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## [37,] -0.59445784 1.2214762 -1.45006299 1.1073643 1.1197206
## [38,] -0.59445784 1.2214762 -0.71133769 1.1073643 0.2321264
## [39,] -0.59445784 1.2214762 -1.08070034 0.1480331 1.1197206
## [40,] -0.59445784 1.2214762 0.76611291 0.1480331 1.1197206
## [41,] -0.59445784 -0.8170409 -0.34197504 0.1480331 1.1197206
## [42,] -0.59445784 1.2214762 -0.34197504 1.1073643 1.1197206
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## [44,] -0.59445784 1.2214762 -1.81942565 -0.8112982 1.1197206
## [45,] -0.59445784 -0.8170409 0.02738761 1.1073643 1.1197206
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## [47,] -0.59445784 -0.8170409 -1.45006299 0.1480331 1.1197206
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## [50,] -0.59445784 1.2214762 1.50483822 1.1073643 0.2321264
## [51,] -0.29021737 -0.8170409 1.13547557 -0.8112982 0.6759235
## [52,] 1.94087945 1.2214762 -0.34197504 0.1480331 0.2321264
## [53,] -0.59445784 1.2214762 1.13547557 0.1480331 0.2321264
## [54,] -0.59445784 -0.8170409 -1.45006299 1.1073643 1.1197206
## [55,] -0.59445784 -0.8170409 0.02738761 1.1073643 0.6759235
## [56,] -0.59445784 1.2214762 0.39675026 1.1073643 0.6759235
## [57,] -0.49304435 -0.8170409 -2.18878830 1.1073643 1.1197206
## [58,] -0.59445784 -0.8170409 -0.34197504 -0.8112982 1.1197206
## [59,] -0.59445784 -0.8170409 -1.08070034 1.1073643 1.1197206
## [60,] 2.44794691 1.2214762 0.02738761 -0.8112982 -0.2116708
## [61,] 2.44794691 1.2214762 0.02738761 1.1073643 1.1197206
## [62,] 0.01402311 -0.8170409 1.13547557 -1.7706294 -0.6554679
## [63,] 0.11543660 -0.8170409 0.76611291 1.1073643 -0.2116708
## [64,] -0.59445784 1.2214762 0.76611291 1.1073643 0.6759235
## [65,] -0.39163086 1.2214762 -2.18878830 1.1073643 1.1197206
## [66,] 2.44794691 -0.8170409 -0.71133769 -1.7706294 -1.0992650
## [67,] -0.59445784 1.2214762 -1.08070034 0.1480331 1.1197206
## [68,] -0.59445784 1.2214762 0.39675026 1.1073643 1.1197206
## [69,] 0.11543660 -0.8170409 -0.34197504 0.1480331 0.2321264
## [70,] -0.59445784 -0.8170409 -2.18878830 1.1073643 0.6759235
## [71,] 0.11543660 1.2214762 -1.81942565 1.1073643 1.1197206
## [72,] -0.59445784 -0.8170409 -1.45006299 1.1073643 1.1197206
## [73,] 2.44794691 1.2214762 0.02738761 -0.8112982 -1.9868593
## [74,] -0.59445784 1.2214762 -0.71133769 0.1480331 0.2321264
## [75,] -0.59445784 -0.8170409 1.50483822 -0.8112982 -1.0992650
## [76,] -0.59445784 -0.8170409 0.39675026 0.1480331 -1.5430621
## [77,] -0.59445784 -0.8170409 -1.45006299 0.1480331 0.2321264
## [78,] -0.59445784 1.2214762 -0.34197504 0.1480331 0.6759235
## [79,] 0.41967708 -0.8170409 -2.18878830 0.1480331 -0.6554679
## [80,] -0.59445784 -0.8170409 0.76611291 0.1480331 -0.6554679
## [81,] -0.59445784 -0.8170409 -0.71133769 1.1073643 1.1197206
## [82,] 1.53522548 -0.8170409 -0.71133769 0.1480331 1.1197206
## [83,] 2.44794691 -0.8170409 -1.08070034 0.1480331 -1.9868593
## [84,] -0.59445784 -0.8170409 1.13547557 -0.8112982 0.6759235
## [85,] -0.59445784 1.2214762 -0.34197504 1.1073643 1.1197206
## [86,] -0.49304435 -0.8170409 -2.55815095 1.1073643 1.1197206
## [87,] -0.59445784 -0.8170409 -1.81942565 1.1073643 1.1197206
## [88,] 1.43381199 -0.8170409 -0.71133769 -0.8112982 -1.0992650
## [89,] 2.44794691 -0.8170409 0.02738761 0.1480331 0.2321264
## [90,] -0.59445784 1.2214762 1.13547557 1.1073643 -0.2116708
## [91,] -0.59445784 -0.8170409 0.39675026 -0.8112982 -0.2116708
## [92,] -0.59445784 1.2214762 -0.71133769 0.1480331 1.1197206
## [93,] 2.44794691 1.2214762 1.13547557 0.1480331 -0.6554679
## [94,] -0.59445784 1.2214762 -0.34197504 1.1073643 0.6759235
## [95,] 1.43381199 -0.8170409 -0.71133769 1.1073643 -1.9868593
## [96,] -0.59445784 -0.8170409 1.50483822 1.1073643 -0.6554679
## [97,] -0.29021737 -0.8170409 0.02738761 -0.8112982 0.2321264
## [98,] -0.49304435 -0.8170409 0.39675026 1.1073643 1.1197206
## [99,] -0.59445784 -0.8170409 0.39675026 0.1480331 0.2321264
## [100,] -0.59445784 -0.8170409 -1.45006299 -0.8112982 -0.6554679
## [101,] 0.82533104 -0.8170409 1.50483822 0.1480331 0.6759235
## [102,] -0.18880388 -0.8170409 0.76611291 1.1073643 0.2321264
## [103,] -0.59445784 1.2214762 -1.81942565 1.1073643 0.6759235
## [104,] 2.44794691 -0.8170409 -0.34197504 -1.7706294 -1.9868593
## [105,] -0.59445784 1.2214762 -1.45006299 -0.8112982 1.1197206
## [106,] 2.44794691 -0.8170409 1.13547557 -0.8112982 -0.2116708
## [107,] -0.59445784 -0.8170409 0.39675026 -0.8112982 0.6759235
## [108,] -0.39163086 1.2214762 -1.08070034 1.1073643 1.1197206
## [109,] -0.59445784 1.2214762 0.02738761 1.1073643 1.1197206
## [110,] 2.44794691 1.2214762 0.02738761 -0.8112982 0.2321264
## [111,] -0.59445784 -0.8170409 0.39675026 0.1480331 1.1197206
## [112,] -0.59445784 1.2214762 -1.08070034 -0.8112982 -0.2116708
## [113,] -0.59445784 -0.8170409 0.39675026 0.1480331 -0.2116708
## [114,] -0.59445784 -0.8170409 0.76611291 1.1073643 -0.2116708
## [115,] 2.44794691 -0.8170409 -0.34197504 0.1480331 0.2321264
## [116,] -0.59445784 1.2214762 -1.45006299 1.1073643 0.6759235
## [117,] -0.18880388 -0.8170409 -1.08070034 -0.8112982 1.1197206
## [118,] -0.59445784 1.2214762 -1.81942565 -0.8112982 0.2321264
## [119,] -0.59445784 1.2214762 0.39675026 1.1073643 1.1197206
## [120,] -0.49304435 -0.8170409 -2.18878830 -0.8112982 1.1197206
## [121,] -0.18880388 1.2214762 -1.08070034 -0.8112982 -0.6554679
## [122,] -0.59445784 1.2214762 -2.92751360 0.1480331 1.1197206
## [123,] -0.08739038 -0.8170409 -1.08070034 0.1480331 0.2321264
## [124,] 0.41967708 -0.8170409 0.02738761 0.1480331 1.1197206
## [125,] -0.59445784 1.2214762 -2.55815095 1.1073643 0.6759235
## [126,] -0.59445784 1.2214762 -0.34197504 1.1073643 1.1197206
## [127,] -0.59445784 -0.8170409 1.50483822 -0.8112982 -1.0992650
## [128,] -0.59445784 -0.8170409 -0.34197504 1.1073643 1.1197206
## [129,] -0.59445784 -0.8170409 0.76611291 1.1073643 1.1197206
## [130,] -0.39163086 1.2214762 0.39675026 1.1073643 0.6759235
## [131,] 1.94087945 -0.8170409 -0.34197504 -1.7706294 -1.9868593
## [132,] -0.59445784 1.2214762 -1.45006299 1.1073643 1.1197206
## [133,] -0.39163086 1.2214762 0.02738761 1.1073643 1.1197206
## [134,] -0.59445784 1.2214762 0.39675026 -0.8112982 -0.2116708
## [135,] -0.59445784 -0.8170409 0.02738761 1.1073643 1.1197206
## [136,] 2.44794691 1.2214762 1.13547557 1.1073643 0.6759235
## [137,] -0.59445784 -0.8170409 0.02738761 0.1480331 0.6759235
## [138,] -0.59445784 1.2214762 1.13547557 -1.7706294 0.2321264
## [139,] -0.59445784 1.2214762 -0.71133769 0.1480331 1.1197206
## [140,] -0.59445784 1.2214762 -0.71133769 1.1073643 1.1197206
## [141,] 1.43381199 -0.8170409 0.76611291 -1.7706294 -0.6554679
## [142,] -0.59445784 1.2214762 -0.34197504 0.1480331 0.6759235
## [143,] -0.39163086 1.2214762 -0.71133769 -0.8112982 -0.6554679
## [144,] 0.11543660 1.2214762 1.50483822 -0.8112982 -0.6554679
## [145,] -0.49304435 -0.8170409 -0.71133769 0.1480331 1.1197206
## [146,] -0.59445784 -0.8170409 -2.18878830 1.1073643 0.6759235
## [147,] -0.59445784 1.2214762 0.76611291 1.1073643 1.1197206
## [148,] -0.59445784 -0.8170409 -0.34197504 0.1480331 -0.2116708
## [149,] -0.59445784 1.2214762 0.39675026 -0.8112982 -0.2116708
## [150,] -0.59445784 1.2214762 -2.92751360 1.1073643 0.6759235
## [151,] 0.21685009 1.2214762 1.50483822 1.1073643 0.6759235
## [152,] 2.44794691 1.2214762 0.39675026 -0.8112982 1.1197206
## [153,] -0.18880388 -0.8170409 0.02738761 1.1073643 0.6759235
## [154,] -0.59445784 -0.8170409 0.02738761 1.1073643 1.1197206
## [155,] -0.59445784 -0.8170409 0.02738761 0.1480331 -0.2116708
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## [157,] -0.49304435 -0.8170409 0.39675026 0.1480331 -0.2116708
## [158,] -0.59445784 1.2214762 0.39675026 0.1480331 1.1197206
## [159,] -0.59445784 1.2214762 -0.34197504 1.1073643 -1.9868593
## [160,] -0.49304435 -0.8170409 0.02738761 -0.8112982 0.6759235
## [161,] -0.59445784 -0.8170409 -0.34197504 1.1073643 1.1197206
## [162,] -0.59445784 1.2214762 0.76611291 1.1073643 1.1197206
## [163,] -0.59445784 -0.8170409 -1.08070034 1.1073643 1.1197206
## [164,] 2.44794691 -0.8170409 -0.71133769 -0.8112982 -0.6554679
## [165,] -0.59445784 -0.8170409 -1.81942565 -0.8112982 0.6759235
## [166,] -0.59445784 1.2214762 -1.81942565 1.1073643 1.1197206
## [167,] -0.59445784 1.2214762 0.39675026 1.1073643 1.1197206
## [168,] -0.59445784 -0.8170409 -1.45006299 0.1480331 -1.9868593
## [169,] -0.59445784 1.2214762 -0.71133769 -2.7299606 -0.6554679
## [170,] -0.59445784 -0.8170409 -0.71133769 1.1073643 1.1197206
## [171,] 0.82533104 1.2214762 0.39675026 -0.8112982 -0.2116708
## [172,] -0.59445784 1.2214762 0.02738761 0.1480331 1.1197206
## [173,] -0.59445784 -0.8170409 -1.08070034 1.1073643 1.1197206
## [174,] -0.59445784 1.2214762 0.02738761 1.1073643 1.1197206
## [175,] -0.59445784 -0.8170409 0.39675026 0.1480331 0.2321264
## [176,] -0.59445784 -0.8170409 1.13547557 0.1480331 0.6759235
## [177,] -0.49304435 1.2214762 -1.45006299 0.1480331 1.1197206
## [178,] -0.29021737 -0.8170409 -0.34197504 0.1480331 1.1197206
## [179,] -0.59445784 -0.8170409 -0.34197504 -0.8112982 1.1197206
## [180,] -0.29021737 -0.8170409 -2.55815095 0.1480331 0.2321264
## [181,] 0.11543660 -0.8170409 0.76611291 -0.8112982 -0.6554679
## [182,] -0.39163086 -0.8170409 -1.81942565 0.1480331 0.2321264
## [183,] -0.59445784 -0.8170409 -0.34197504 1.1073643 0.6759235
## [184,] -0.18880388 1.2214762 0.76611291 1.1073643 1.1197206
## [185,] -0.59445784 1.2214762 0.02738761 -0.8112982 -1.5430621
## [186,] -0.59445784 1.2214762 1.13547557 -0.8112982 0.6759235
## [187,] -0.59445784 -0.8170409 -1.81942565 -0.8112982 -0.2116708
## [188,] 2.44794691 1.2214762 -1.45006299 1.1073643 1.1197206
## [189,] -0.59445784 -0.8170409 -0.71133769 0.1480331 1.1197206
## [190,] 2.44794691 1.2214762 -0.71133769 0.1480331 -0.6554679
## [191,] 0.11543660 1.2214762 0.76611291 1.1073643 1.1197206
## [192,] -0.39163086 -0.8170409 0.02738761 0.1480331 -1.5430621
## [193,] -0.59445784 1.2214762 -1.08070034 1.1073643 0.2321264
## [194,] 0.92674453 -0.8170409 -1.08070034 -0.8112982 -1.5430621
## [195,] -0.08739038 -0.8170409 -1.45006299 1.1073643 0.6759235
## [196,] -0.49304435 1.2214762 0.39675026 1.1073643 1.1197206
## [197,] 0.41967708 -0.8170409 0.39675026 -0.8112982 -0.2116708
## [198,] -0.59445784 -0.8170409 -1.08070034 -0.8112982 0.2321264
## [199,] -0.59445784 -0.8170409 1.13547557 0.1480331 0.6759235
## [200,] 2.44794691 -0.8170409 -0.34197504 0.1480331 -1.5430621
## [201,] -0.59445784 -0.8170409 -0.71133769 1.1073643 1.1197206
## [202,] -0.59445784 1.2214762 -2.92751360 0.1480331 -1.5430621
## [203,] -0.59445784 -0.8170409 1.50483822 -1.7706294 -1.0992650
## [204,] -0.59445784 -0.8170409 -0.34197504 0.1480331 -0.6554679
## [205,] -0.59445784 1.2214762 0.02738761 1.1073643 0.6759235
## [206,] -0.59445784 -0.8170409 0.02738761 1.1073643 1.1197206
## [207,] -0.59445784 -0.8170409 -0.34197504 1.1073643 1.1197206
## [208,] -0.59445784 1.2214762 0.02738761 1.1073643 0.2321264
## [209,] -0.59445784 -0.8170409 1.50483822 0.1480331 -1.5430621
## [210,] -0.39163086 -0.8170409 -0.34197504 1.1073643 1.1197206
## [211,] 1.63663898 -0.8170409 0.39675026 1.1073643 -1.9868593
## [212,] 1.73805247 1.2214762 0.02738761 0.1480331 1.1197206
## [213,] 0.41967708 -0.8170409 -0.71133769 0.1480331 0.2321264
## [214,] -0.59445784 1.2214762 0.76611291 1.1073643 -1.9868593
## [215,] -0.59445784 1.2214762 1.13547557 1.1073643 0.2321264
## [216,] -0.59445784 -0.8170409 0.39675026 1.1073643 1.1197206
## [217,] -0.59445784 -0.8170409 0.02738761 0.1480331 1.1197206
## [218,] -0.08739038 1.2214762 -1.81942565 1.1073643 1.1197206
## [219,] -0.59445784 -0.8170409 -0.34197504 1.1073643 0.2321264
## [220,] -0.59445784 -0.8170409 -0.71133769 -0.8112982 0.6759235
## [221,] -0.59445784 1.2214762 -1.45006299 0.1480331 0.6759235
## [222,] -0.18880388 -0.8170409 0.02738761 -1.7706294 -1.0992650
## [223,] -0.59445784 -0.8170409 1.13547557 0.1480331 -0.6554679
## [224,] -0.59445784 1.2214762 -0.34197504 1.1073643 1.1197206
## [225,] -0.59445784 -0.8170409 -2.18878830 -0.8112982 0.2321264
## [226,] -0.59445784 -0.8170409 -2.92751360 0.1480331 0.2321264
## [227,] -0.59445784 1.2214762 1.50483822 -0.8112982 -0.2116708
## [228,] -0.59445784 1.2214762 1.13547557 -0.8112982 -0.6554679
## [229,] -0.59445784 1.2214762 1.13547557 -0.8112982 0.6759235
## [230,] -0.59445784 -0.8170409 -2.92751360 0.1480331 -0.6554679
## [231,] 0.41967708 1.2214762 1.50483822 -0.8112982 0.6759235
## [232,] -0.59445784 -0.8170409 1.50483822 -0.8112982 -1.0992650
## [233,] -0.59445784 -0.8170409 0.02738761 0.1480331 -1.0992650
## [234,] -0.59445784 -0.8170409 -2.18878830 -1.7706294 0.2321264
## [235,] -0.29021737 -0.8170409 -0.34197504 1.1073643 1.1197206
## [236,] -0.59445784 -0.8170409 -1.08070034 1.1073643 1.1197206
## [237,] -0.59445784 -0.8170409 -1.81942565 -0.8112982 0.6759235
## [238,] -0.59445784 -0.8170409 -0.71133769 1.1073643 1.1197206
## [239,] 2.44794691 1.2214762 -0.71133769 0.1480331 1.1197206
## [240,] -0.59445784 -0.8170409 -0.71133769 0.1480331 1.1197206
## [241,] -0.59445784 -0.8170409 -0.71133769 1.1073643 1.1197206
## [242,] -0.59445784 1.2214762 -0.71133769 -0.8112982 -0.2116708
## [243,] -0.59445784 1.2214762 -1.81942565 0.1480331 1.1197206
## [244,] -0.59445784 -0.8170409 -1.45006299 1.1073643 1.1197206
## [245,] -0.59445784 1.2214762 0.02738761 1.1073643 1.1197206
## [246,] -0.59445784 1.2214762 1.50483822 1.1073643 0.6759235
## [247,] -0.59445784 1.2214762 -0.71133769 -0.8112982 0.2321264
## [248,] -0.49304435 1.2214762 0.39675026 1.1073643 1.1197206
## [249,] -0.59445784 1.2214762 0.39675026 1.1073643 1.1197206
## [250,] 2.44794691 -0.8170409 0.02738761 0.1480331 -1.9868593
## [251,] -0.59445784 1.2214762 1.50483822 1.1073643 1.1197206
## [252,] -0.59445784 -0.8170409 0.76611291 -0.8112982 0.2321264
## [253,] -0.59445784 1.2214762 -0.71133769 0.1480331 0.2321264
## [254,] -0.59445784 -0.8170409 1.50483822 0.1480331 -0.6554679
## [255,] -0.59445784 1.2214762 0.39675026 1.1073643 -0.2116708
## [256,] -0.59445784 1.2214762 1.13547557 -2.7299606 -0.6554679
## [257,] 1.43381199 -0.8170409 -0.34197504 -0.8112982 0.6759235
## [258,] 0.11543660 -0.8170409 0.02738761 0.1480331 -0.6554679
## [259,] -0.59445784 -0.8170409 1.13547557 -1.7706294 -1.0992650
## [260,] -0.08739038 -0.8170409 1.50483822 -0.8112982 -0.6554679
## [261,] 2.44794691 -0.8170409 0.76611291 -0.8112982 -1.5430621
## [262,] 2.44794691 -0.8170409 0.39675026 -0.8112982 -0.2116708
## [263,] -0.59445784 -0.8170409 0.76611291 -0.8112982 -0.6554679
## [264,] -0.59445784 -0.8170409 0.39675026 -1.7706294 -1.5430621
## [265,] -0.59445784 -0.8170409 -0.71133769 0.1480331 -1.0992650
## [266,] -0.39163086 1.2214762 -0.71133769 1.1073643 1.1197206
## [267,] -0.59445784 1.2214762 -0.34197504 0.1480331 1.1197206
## [268,] -0.59445784 -0.8170409 1.50483822 -2.7299606 -1.5430621
## [269,] 2.44794691 -0.8170409 0.02738761 1.1073643 1.1197206
## [270,] -0.59445784 1.2214762 1.50483822 0.1480331 0.2321264
## [271,] -0.59445784 1.2214762 0.76611291 0.1480331 0.6759235
## [272,] 0.41967708 -0.8170409 0.76611291 0.1480331 -1.5430621
## [273,] 2.44794691 -0.8170409 0.02738761 -2.7299606 -1.0992650
## [274,] -0.29021737 -0.8170409 -2.18878830 0.1480331 -1.0992650
## [275,] -0.59445784 1.2214762 0.02738761 1.1073643 0.6759235
## [276,] -0.59445784 1.2214762 -0.71133769 -0.8112982 -0.2116708
## [277,] 0.41967708 -0.8170409 -0.71133769 1.1073643 0.6759235
## [278,] -0.59445784 1.2214762 1.13547557 -0.8112982 0.2321264
## [279,] -0.59445784 -0.8170409 -0.34197504 1.1073643 -0.2116708
## [280,] -0.59445784 1.2214762 -0.34197504 0.1480331 1.1197206
## [281,] -0.29021737 -0.8170409 -0.34197504 -0.8112982 0.6759235
## [282,] -0.59445784 -0.8170409 1.13547557 0.1480331 -0.6554679
## [283,] 2.44794691 -0.8170409 -0.34197504 0.1480331 0.2321264
## [284,] -0.59445784 -0.8170409 0.76611291 1.1073643 -0.2116708
## [285,] 0.82533104 -0.8170409 0.02738761 1.1073643 -0.2116708
## [286,] -0.39163086 1.2214762 0.39675026 -1.7706294 -0.2116708
## [287,] -0.39163086 -0.8170409 -0.34197504 -0.8112982 1.1197206
## [288,] -0.08739038 -0.8170409 0.39675026 0.1480331 0.2321264
## [289,] -0.59445784 1.2214762 0.39675026 0.1480331 0.2321264
## [290,] 2.44794691 -0.8170409 1.13547557 0.1480331 -1.0992650
## [291,] 0.92674453 1.2214762 0.39675026 0.1480331 1.1197206
## [292,] -0.59445784 -0.8170409 1.50483822 1.1073643 0.6759235
## [293,] -0.39163086 -0.8170409 0.76611291 1.1073643 -0.2116708
## [294,] 0.92674453 -0.8170409 1.13547557 -0.8112982 -0.6554679
## [295,] 0.92674453 -0.8170409 0.76611291 0.1480331 -1.5430621
## [296,] -0.39163086 -0.8170409 0.02738761 0.1480331 0.2321264
## [297,] -0.59445784 -0.8170409 1.13547557 -0.8112982 -1.9868593
## [298,] -0.59445784 -0.8170409 0.39675026 0.1480331 -0.6554679
## [299,] 2.44794691 1.2214762 -0.34197504 0.1480331 0.2321264
## [300,] -0.59445784 1.2214762 1.13547557 1.1073643 0.6759235
## [301,] 2.24511993 1.2214762 -0.34197504 -0.8112982 1.1197206
## [302,] -0.59445784 1.2214762 -1.08070034 0.1480331 0.6759235
## [303,] -0.59445784 -0.8170409 0.39675026 1.1073643 0.6759235
## [304,] -0.59445784 -0.8170409 1.50483822 0.1480331 0.2321264
## [305,] 0.82533104 -0.8170409 1.50483822 -0.8112982 -0.2116708
## [306,] -0.59445784 1.2214762 0.76611291 -1.7706294 1.1197206
## [307,] -0.59445784 1.2214762 0.39675026 1.1073643 1.1197206
## [308,] -0.59445784 1.2214762 0.39675026 0.1480331 1.1197206
## [309,] -0.59445784 -0.8170409 0.76611291 0.1480331 -0.2116708
## [310,] 0.92674453 -0.8170409 0.39675026 1.1073643 -0.2116708
## [311,] -0.39163086 -0.8170409 0.39675026 -0.8112982 0.2321264
## [312,] -0.59445784 1.2214762 0.02738761 0.1480331 1.1197206
## [313,] -0.59445784 -0.8170409 0.76611291 1.1073643 0.6759235
## [314,] -0.59445784 -0.8170409 0.76611291 -0.8112982 -0.6554679
## [315,] -0.08739038 -0.8170409 1.13547557 -1.7706294 -1.9868593
## [316,] -0.59445784 -0.8170409 -0.34197504 1.1073643 1.1197206
## [317,] 0.92674453 -0.8170409 -1.08070034 -1.7706294 -1.9868593
## [318,] 0.82533104 -0.8170409 0.02738761 -0.8112982 -0.6554679
## [319,] -0.59445784 -0.8170409 1.50483822 -0.8112982 -0.2116708
## [320,] -0.59445784 1.2214762 1.50483822 0.1480331 -0.6554679
## [321,] -0.39163086 -0.8170409 1.50483822 1.1073643 0.6759235
## [322,] 0.92674453 -0.8170409 -0.34197504 -1.7706294 -1.0992650
## [323,] 2.14370644 -0.8170409 -0.71133769 -0.8112982 -1.9868593
## [324,] 2.44794691 1.2214762 -0.34197504 -0.8112982 -1.5430621
## [325,] 0.01402311 1.2214762 1.13547557 -2.7299606 -1.5430621
## [326,] -0.59445784 -0.8170409 0.39675026 -0.8112982 -1.0992650
## [327,] -0.59445784 -0.8170409 0.02738761 -0.8112982 0.2321264
## [328,] -0.59445784 1.2214762 0.39675026 -1.7706294 -1.5430621
## [329,] -0.59445784 1.2214762 -1.08070034 0.1480331 -1.0992650
## [330,] -0.08739038 1.2214762 -0.34197504 -0.8112982 0.2321264
## [331,] 1.43381199 1.2214762 0.76611291 -0.8112982 -1.5430621
## [332,] 0.92674453 -0.8170409 0.76611291 -1.7706294 -1.9868593
## [333,] -0.59445784 -0.8170409 1.50483822 0.1480331 -1.5430621
## [334,] 0.21685009 -0.8170409 -1.81942565 0.1480331 -1.5430621
## [335,] 0.41967708 1.2214762 0.39675026 -0.8112982 -1.9868593
## [336,] -0.39163086 -0.8170409 -0.34197504 -0.8112982 -0.6554679
## [337,] 0.41967708 -0.8170409 0.02738761 1.1073643 1.1197206
## [338,] -0.59445784 -0.8170409 1.50483822 1.1073643 -1.9868593
## [339,] 0.11543660 -0.8170409 0.39675026 -2.7299606 -1.0992650
## [340,] 2.44794691 1.2214762 0.39675026 -0.8112982 -0.6554679
## [341,] -0.59445784 -0.8170409 -0.34197504 0.1480331 -1.9868593
## [342,] -0.59445784 -0.8170409 0.39675026 -0.8112982 -1.0992650
## [343,] 2.44794691 -0.8170409 0.02738761 0.1480331 -0.2116708
## [344,] -0.59445784 -0.8170409 0.02738761 -0.8112982 -1.5430621
## [345,] -0.59445784 -0.8170409 0.02738761 1.1073643 0.2321264
## [346,] -0.39163086 1.2214762 0.39675026 1.1073643 -0.6554679
## [347,] -0.59445784 -0.8170409 0.76611291 -0.8112982 -1.9868593
## [348,] 0.92674453 -0.8170409 0.39675026 -1.7706294 -1.9868593
## [349,] 2.44794691 1.2214762 0.39675026 -0.8112982 0.6759235
## [350,] 0.01402311 1.2214762 0.02738761 -0.8112982 -0.2116708
## [351,] 0.82533104 1.2214762 -0.34197504 -0.8112982 -1.9868593
## [352,] -0.08739038 -0.8170409 0.39675026 -0.8112982 -1.9868593
## [353,] -0.49304435 -0.8170409 0.39675026 0.1480331 -0.2116708
## [354,] 0.11543660 1.2214762 0.39675026 1.1073643 0.6759235
## [355,] -0.59445784 -0.8170409 0.02738761 0.1480331 -1.0992650
## [356,] -0.59445784 -0.8170409 0.39675026 1.1073643 1.1197206
## [357,] 2.44794691 -0.8170409 -0.34197504 -0.8112982 -1.0992650
## [358,] -0.29021737 1.2214762 0.39675026 0.1480331 1.1197206
## [359,] 2.44794691 1.2214762 0.76611291 0.1480331 -0.6554679
## [360,] -0.59445784 -0.8170409 0.02738761 -1.7706294 -0.2116708
## [361,] -0.59445784 -0.8170409 0.39675026 0.1480331 -0.6554679
## [362,] 2.44794691 -0.8170409 -0.34197504 -1.7706294 -1.0992650
## [363,] -0.59445784 -0.8170409 0.39675026 1.1073643 0.2321264
## [364,] -0.59445784 1.2214762 1.13547557 0.1480331 0.6759235
## [365,] -0.59445784 -0.8170409 0.39675026 -0.8112982 -0.6554679
## [366,] 0.41967708 1.2214762 1.13547557 1.1073643 -1.5430621
## [367,] 0.92674453 -0.8170409 -0.34197504 0.1480331 -0.2116708
## [368,] -0.29021737 -0.8170409 0.02738761 -0.8112982 -1.5430621
## [369,] -0.59445784 1.2214762 1.13547557 1.1073643 0.2321264
## [370,] -0.59445784 1.2214762 0.39675026 1.1073643 1.1197206
## [371,] -0.59445784 -0.8170409 0.76611291 -0.8112982 0.6759235
## [372,] -0.59445784 -0.8170409 1.13547557 0.1480331 -1.0992650
## [373,] -0.59445784 1.2214762 0.76611291 -0.8112982 1.1197206
## [374,] -0.59445784 -0.8170409 1.13547557 1.1073643 -0.2116708
## [375,] 0.41967708 1.2214762 0.02738761 -0.8112982 0.2321264
## [376,] -0.59445784 1.2214762 0.76611291 1.1073643 1.1197206
## [377,] -0.59445784 1.2214762 0.39675026 -0.8112982 0.2321264
## [378,] -0.59445784 -0.8170409 0.02738761 0.1480331 1.1197206
## [379,] -0.59445784 -0.8170409 0.02738761 -0.8112982 -0.6554679
## [380,] 0.11543660 1.2214762 1.50483822 -0.8112982 0.6759235
## [381,] -0.59445784 1.2214762 0.02738761 0.1480331 0.6759235
## [382,] 0.41967708 -0.8170409 0.76611291 1.1073643 1.1197206
## [383,] 1.43381199 -0.8170409 0.02738761 -3.6892919 -1.9868593
## [384,] 0.92674453 -0.8170409 -0.71133769 -0.8112982 -1.9868593
## [385,] 2.44794691 -0.8170409 0.39675026 -1.7706294 -1.9868593
## [386,] 0.62250406 -0.8170409 0.39675026 -0.8112982 -1.0992650
## [387,] -0.59445784 -0.8170409 0.02738761 -0.8112982 0.6759235
## [388,] -0.59445784 1.2214762 0.39675026 -2.7299606 -1.5430621
## [389,] -0.59445784 1.2214762 1.50483822 -0.8112982 -0.2116708
## [390,] -0.29021737 -0.8170409 0.02738761 0.1480331 -0.6554679
## [391,] -0.59445784 -0.8170409 0.39675026 -0.8112982 -1.5430621
## [392,] -0.59445784 -0.8170409 -0.34197504 1.1073643 1.1197206
## [393,] 2.44794691 1.2214762 1.50483822 -1.7706294 -1.0992650
## [394,] -0.49304435 -0.8170409 0.76611291 0.1480331 0.2321264
## [395,] -0.59445784 -0.8170409 1.13547557 -0.8112982 -0.6554679
## [396,] -0.59445784 1.2214762 0.76611291 -0.8112982 -1.0992650
## [397,] -0.39163086 -0.8170409 0.02738761 1.1073643 1.1197206
## [398,] 2.44794691 -0.8170409 1.13547557 0.1480331 0.2321264
## [399,] -0.59445784 -0.8170409 1.50483822 0.1480331 0.2321264
## [400,] 2.44794691 1.2214762 0.76611291 -2.7299606 -1.0992650
## [401,] -0.59445784 -0.8170409 0.76611291 0.1480331 -0.2116708
## [402,] -0.59445784 -0.8170409 -0.34197504 -0.8112982 -1.0992650
## [403,] -0.08739038 -0.8170409 0.39675026 -0.8112982 -1.9868593
## [404,] -0.29021737 -0.8170409 0.76611291 -0.8112982 0.2321264
## [405,] -0.59445784 1.2214762 0.02738761 1.1073643 1.1197206
## [406,] -0.59445784 -0.8170409 0.02738761 0.1480331 -1.0992650
## [407,] -0.59445784 -0.8170409 0.76611291 -0.8112982 -0.6554679
## [408,] 2.44794691 1.2214762 0.39675026 0.1480331 0.2321264
## [409,] -0.18880388 -0.8170409 1.13547557 -2.7299606 -1.9868593
## [410,] -0.08739038 1.2214762 0.39675026 1.1073643 1.1197206
## [411,] -0.39163086 -0.8170409 1.13547557 0.1480331 -0.2116708
## [412,] -0.59445784 -0.8170409 -1.45006299 1.1073643 -1.9868593
## [413,] -0.18880388 -0.8170409 0.39675026 1.1073643 -1.0992650
## [414,] 2.44794691 -0.8170409 1.13547557 -1.7706294 -1.5430621
## [415,] -0.59445784 1.2214762 0.39675026 1.1073643 0.2321264
## [416,] 0.41967708 1.2214762 0.02738761 1.1073643 -1.0992650
## [417,] -0.59445784 -0.8170409 -0.34197504 0.1480331 -0.2116708
## [418,] -0.18880388 -0.8170409 -0.71133769 1.1073643 -1.0992650
## [419,] -0.59445784 1.2214762 1.13547557 -0.8112982 -0.6554679
## [420,] -0.59445784 -0.8170409 0.76611291 1.1073643 0.2321264
## [421,] -0.59445784 -0.8170409 0.02738761 -1.7706294 -1.5430621
## [422,] -0.59445784 -0.8170409 -0.71133769 -0.8112982 -1.0992650
## [423,] 0.92674453 -0.8170409 1.13547557 0.1480331 -1.5430621
## [424,] 2.44794691 1.2214762 0.76611291 1.1073643 1.1197206
## [425,] -0.59445784 -0.8170409 0.76611291 1.1073643 -0.2116708
## [426,] 0.41967708 1.2214762 0.39675026 1.1073643 1.1197206
## [427,] -0.59445784 1.2214762 1.13547557 1.1073643 1.1197206
## [428,] -0.39163086 1.2214762 0.39675026 0.1480331 0.2321264
## [429,] 0.11543660 -0.8170409 -1.08070034 1.1073643 1.1197206
## [430,] -0.59445784 1.2214762 0.39675026 1.1073643 0.2321264
## [431,] -0.59445784 1.2214762 0.39675026 1.1073643 0.2321264
## [432,] -0.59445784 1.2214762 0.39675026 0.1480331 -0.2116708
## [433,] 0.41967708 -0.8170409 1.13547557 -0.8112982 -1.5430621
## [434,] 2.44794691 1.2214762 1.50483822 -0.8112982 -0.2116708
## [435,] -0.39163086 -0.8170409 0.76611291 1.1073643 0.6759235
## [436,] 2.44794691 -0.8170409 0.02738761 1.1073643 0.6759235
## [437,] -0.59445784 -0.8170409 -0.71133769 0.1480331 1.1197206
## [438,] -0.59445784 1.2214762 0.02738761 0.1480331 -0.2116708
## [439,] 2.44794691 -0.8170409 -0.71133769 0.1480331 0.6759235
## [440,] -0.18880388 -0.8170409 0.39675026 -0.8112982 -1.0992650
## [441,] -0.59445784 1.2214762 0.76611291 -0.8112982 0.6759235
## [442,] 2.44794691 1.2214762 0.76611291 -0.8112982 0.2321264
## [443,] -0.39163086 -0.8170409 0.76611291 0.1480331 -0.6554679
## [444,] -0.18880388 1.2214762 0.76611291 1.1073643 0.6759235
## [445,] 0.82533104 -0.8170409 1.13547557 1.1073643 -0.2116708
## [446,] -0.59445784 -0.8170409 0.39675026 -1.7706294 -1.0992650
## [447,] -0.08739038 -0.8170409 0.76611291 1.1073643 -0.2116708
## [448,] 2.44794691 -0.8170409 0.76611291 -0.8112982 -0.2116708
## [449,] -0.08739038 -0.8170409 0.76611291 1.1073643 1.1197206
## [450,] -0.59445784 -0.8170409 0.39675026 -1.7706294 -1.9868593
## [451,] 0.41967708 -0.8170409 -0.71133769 -0.8112982 -1.9868593
## [452,] -0.59445784 1.2214762 -1.08070034 1.1073643 -0.2116708
## [453,] 0.41967708 -0.8170409 0.39675026 -0.8112982 -1.5430621
## [454,] -0.59445784 -0.8170409 -0.34197504 0.1480331 1.1197206
## [455,] 1.53522548 -0.8170409 0.76611291 -1.7706294 0.2321264
## [456,] -0.59445784 1.2214762 1.50483822 1.1073643 -1.0992650
## [457,] 0.92674453 -0.8170409 0.39675026 -1.7706294 -1.0992650
## [458,] 0.11543660 -0.8170409 0.39675026 0.1480331 -0.2116708
## [459,] -0.59445784 1.2214762 0.39675026 -0.8112982 0.6759235
## [460,] 1.43381199 -0.8170409 -0.71133769 -2.7299606 -0.2116708
## [461,] -0.59445784 1.2214762 0.76611291 -0.8112982 0.2321264
## [462,] -0.59445784 -0.8170409 -1.81942565 -0.8112982 -0.6554679
## [463,] 2.44794691 1.2214762 1.50483822 0.1480331 0.2321264
## [464,] 2.44794691 -0.8170409 0.39675026 0.1480331 0.2321264
## [465,] -0.59445784 -0.8170409 0.39675026 -0.8112982 -1.0992650
## [466,] 0.41967708 -0.8170409 -0.71133769 -0.8112982 -1.0992650
## [467,] -0.39163086 -0.8170409 0.76611291 1.1073643 -0.2116708
## [468,] -0.59445784 -0.8170409 0.02738761 -0.8112982 -1.9868593
## [469,] -0.59445784 -0.8170409 0.76611291 -1.7706294 -1.5430621
## [470,] -0.59445784 -0.8170409 1.13547557 -0.8112982 -1.5430621
## [471,] -0.59445784 1.2214762 -0.34197504 0.1480331 1.1197206
## [472,] -0.59445784 -0.8170409 -0.71133769 0.1480331 -0.2116708
## [473,] -0.59445784 1.2214762 -0.34197504 1.1073643 0.6759235
## [474,] -0.08739038 -0.8170409 0.02738761 0.1480331 -0.2116708
## [475,] -0.59445784 1.2214762 -1.08070034 -1.7706294 -0.2116708
## [476,] -0.39163086 -0.8170409 0.39675026 -0.8112982 0.6759235
## [477,] -0.59445784 -0.8170409 0.39675026 -0.8112982 -0.6554679
## [478,] 1.02815803 -0.8170409 -0.34197504 -0.8112982 -1.0992650
## [479,] 2.44794691 -0.8170409 -0.71133769 -0.8112982 -1.9868593
## [480,] -0.59445784 -0.8170409 1.50483822 1.1073643 -1.0992650
## [481,] 0.41967708 -0.8170409 1.50483822 -1.7706294 -1.5430621
## [482,] -0.59445784 -0.8170409 0.39675026 -0.8112982 -1.0992650
## [483,] -0.59445784 1.2214762 0.39675026 1.1073643 0.6759235
## [484,] -0.59445784 1.2214762 0.76611291 1.1073643 0.6759235
## [485,] 0.41967708 1.2214762 0.76611291 1.1073643 0.2321264
## [486,] 2.44794691 -0.8170409 -0.34197504 -0.8112982 0.6759235
## [487,] 0.82533104 1.2214762 1.50483822 1.1073643 -0.2116708
## [488,] 0.92674453 -0.8170409 0.39675026 0.1480331 -0.2116708
## [489,] -0.08739038 1.2214762 0.39675026 -0.8112982 0.6759235
## [490,] 2.44794691 1.2214762 -0.34197504 0.1480331 -0.6554679
## [491,] -0.59445784 -0.8170409 -0.34197504 0.1480331 -1.0992650
## [492,] 0.41967708 -0.8170409 -0.34197504 -1.7706294 -0.6554679
## [493,] 0.01402311 -0.8170409 0.76611291 0.1480331 0.6759235
## [494,] -0.59445784 -0.8170409 0.76611291 -0.8112982 -0.2116708
## [495,] -0.59445784 1.2214762 0.39675026 0.1480331 0.2321264
## [496,] -0.39163086 1.2214762 0.76611291 -0.8112982 -1.0992650
## [497,] -0.59445784 -0.8170409 -1.45006299 1.1073643 0.6759235
## [498,] -0.59445784 1.2214762 1.50483822 -2.7299606 -1.0992650
## [499,] 2.44794691 -0.8170409 1.13547557 -0.8112982 -1.5430621
## attr(,"scaled:center")
## HighBP BMI Smoker
## 0.60521042 29.86573146 0.47294589
## Stroke HeartDiseaseorAttack PhysActivity
## 0.09018036 0.17635271 0.66533066
## HvyAlcoholConsump AnyHealthcare GenHlth
## 0.04008016 0.94989980 2.90380762
## MentHlth PhysHlth Sex
## 3.73146293 5.86172345 0.40080160
## Age Education Income
## 8.92585170 4.84569138 5.47695391
## attr(,"scaled:scale")
## HighBP BMI Smoker
## 0.4892960 6.9764383 0.4997686
## Stroke HeartDiseaseorAttack PhysActivity
## 0.2867274 0.3815024 0.4723483
## HvyAlcoholConsump AnyHealthcare GenHlth
## 0.1963441 0.2183706 1.1662789
## MentHlth PhysHlth Sex
## 7.8898053 9.8606209 0.4905527
## Age Education Income
## 2.7073663 1.0423928 2.2532818#Logistic Regression
library(ggplot2)
library(cowplot)## Warning: package 'cowplot' was built under R version 4.2.2#library(regclass)
library(caret)## Warning: package 'caret' was built under R version 4.2.3## Loading required package: latticelibrary(e1071)## Warning: package 'e1071' was built under R version 4.2.3library(pROC)## Warning: package 'pROC' was built under R version 4.2.3## Type 'citation("pROC")' for a citation.##
## Attaching package: 'pROC'## The following objects are masked from 'package:stats':
##
## cov, smooth, vardata <- read.csv("C:/Users/vidhi/Downloads/Diabetes.csv")
data## Diabetes_binary HighBP BMI Smoker Stroke HeartDiseaseorAttack PhysActivity
## 1 0 1 26 0 0 0 1
## 2 0 1 26 1 1 0 0
## 3 0 0 26 0 0 0 1
## 4 0 1 28 1 0 0 1
## 5 0 0 29 1 0 0 1
## 6 0 0 18 0 0 0 1
## 7 0 0 26 1 0 0 1
## 8 0 0 31 1 0 0 0
## 9 0 0 32 0 0 0 1
## 10 0 0 27 1 0 0 0
## 11 0 1 24 1 0 1 1
## 12 0 0 21 0 0 0 1
## 13 0 1 27 0 0 0 1
## 14 0 1 58 0 0 0 0
## 15 0 0 29 1 0 0 1
## 16 0 0 18 1 0 0 1
## 17 0 0 30 0 0 0 1
## 18 0 0 30 1 0 0 1
## 19 0 0 20 0 0 0 1
## 20 0 1 26 0 0 0 0
## 21 0 0 22 0 0 0 1
## 22 0 1 29 1 0 0 1
## 23 0 0 22 0 0 0 1
## 24 0 0 30 0 0 0 1
## 25 0 0 27 0 0 0 1
## 26 0 0 28 0 0 0 1
## 27 0 1 20 1 0 0 0
## 28 0 1 32 0 0 0 0
## 29 0 0 38 0 0 0 1
## 30 0 0 40 1 0 0 1
## 31 0 1 24 1 0 0 1
## 32 0 0 24 1 0 0 1
## 33 0 0 20 0 0 0 1
## 34 0 0 20 0 0 0 0
## 35 0 1 29 1 0 1 1
## 36 0 0 24 0 0 0 1
## 37 0 0 25 0 0 0 0
## 38 0 0 36 1 0 0 1
## 39 0 0 31 1 0 0 1
## 40 0 0 27 1 0 0 1
## 41 0 0 26 0 0 0 1
## 42 0 0 27 0 0 0 1
## 43 0 1 47 1 0 0 0
## 44 0 1 38 1 0 0 1
## 45 0 1 28 0 0 0 1
## 46 0 0 20 1 0 0 0
## 47 0 0 19 1 0 0 1
## 48 0 0 25 0 0 0 1
## 49 0 0 26 0 0 0 1
## 50 0 1 22 0 0 0 1
## 51 0 1 31 0 0 0 1
## 52 0 0 30 1 0 0 1
## 53 0 1 37 1 0 1 1
## 54 0 0 31 0 0 0 1
## 55 0 0 22 0 0 0 1
## 56 0 0 26 0 0 0 0
## 57 0 0 41 0 0 0 0
## 58 0 1 22 1 0 0 1
## 59 0 0 23 1 0 0 1
## 60 0 1 34 1 0 0 0
## 61 0 0 27 1 0 0 1
## 62 0 1 38 0 0 0 0
## 63 0 1 19 1 0 1 1
## 64 0 0 29 0 0 0 1
## 65 0 0 27 0 0 0 1
## 66 0 0 24 1 1 0 1
## 67 0 1 36 1 0 0 1
## 68 0 1 35 1 0 1 1
## 69 0 1 32 0 0 0 1
## 70 0 0 42 0 0 0 1
## 71 0 0 24 0 0 0 1
## 72 0 0 25 1 0 0 0
## 73 0 1 21 1 0 0 0
## 74 0 0 23 0 0 0 1
## 75 0 0 26 0 0 0 1
## 76 0 1 31 1 0 0 1
## 77 0 0 20 1 0 0 1
## 78 0 0 37 0 0 0 1
## 79 0 0 23 1 0 0 1
## 80 0 1 34 1 0 0 1
## 81 0 0 17 0 0 0 1
## 82 0 0 37 1 0 0 0
## 83 0 1 36 0 0 0 1
## 84 0 0 21 0 0 0 1
## 85 0 1 40 1 0 0 1
## 86 0 0 22 0 0 0 1
## 87 0 0 33 0 0 0 1
## 88 0 1 26 1 1 1 0
## 89 0 1 30 0 0 0 0
## 90 0 0 32 1 0 0 0
## 91 0 1 32 1 0 0 1
## 92 0 0 23 0 0 0 1
## 93 0 1 36 1 0 1 0
## 94 0 0 30 0 0 0 1
## 95 0 1 24 1 0 1 0
## 96 0 0 22 0 0 0 1
## 97 0 0 21 0 0 0 1
## 98 0 0 35 0 0 0 1
## 99 0 0 31 0 0 0 1
## 100 0 0 47 0 0 0 1
## 101 0 1 25 0 0 0 0
## 102 0 0 31 0 0 1 0
## 103 0 0 28 0 0 0 1
## 104 0 1 28 1 0 1 0
## 105 0 0 38 0 0 0 1
## 106 0 1 27 0 0 0 0
## 107 0 0 20 1 0 0 1
## 108 0 0 31 1 0 0 1
## 109 0 1 28 1 0 0 0
## 110 0 0 44 1 0 0 0
## 111 0 0 27 1 0 0 1
## 112 0 0 26 1 0 0 0
## 113 0 1 40 1 0 0 1
## 114 0 1 27 1 0 0 1
## 115 0 0 22 0 0 0 1
## 116 0 0 21 0 0 0 1
## 117 0 0 20 1 0 0 1
## 118 0 1 27 1 0 0 0
## 119 0 0 28 0 0 0 0
## 120 0 0 31 1 0 0 0
## 121 0 0 22 1 0 0 1
## 122 0 0 36 0 0 0 1
## 123 0 0 24 0 0 0 1
## 124 0 0 28 0 0 0 1
## 125 0 0 26 0 0 0 1
## 126 0 0 30 1 0 0 1
## 127 0 1 29 0 0 1 1
## 128 0 1 24 0 0 0 0
## 129 0 0 23 0 0 0 1
## 130 0 0 27 1 0 0 1
## 131 0 1 27 1 0 0 1
## 132 0 0 30 0 0 0 1
## 133 0 1 23 1 0 0 1
## 134 0 1 36 1 0 0 1
## 135 0 0 21 0 0 0 1
## 136 0 1 29 1 1 0 1
## 137 0 0 25 1 0 0 1
## 138 0 0 29 1 0 0 1
## 139 0 0 24 1 0 0 1
## 140 0 1 27 1 0 0 1
## 141 0 0 20 0 0 1 1
## 142 0 1 37 1 0 0 1
## 143 0 1 24 1 0 0 1
## 144 0 0 25 1 0 0 0
## 145 0 0 22 0 0 0 1
## 146 0 0 23 0 0 0 1
## 147 0 1 27 0 0 0 1
## 148 0 1 26 1 0 0 1
## 149 0 1 31 1 0 1 1
## 150 0 0 22 0 0 0 1
## 151 0 1 23 1 0 1 1
## 152 0 0 25 1 0 1 1
## 153 0 1 22 0 0 0 1
## 154 0 0 29 0 0 0 1
## 155 0 1 28 1 0 0 1
## 156 0 0 31 0 0 0 1
## 157 0 1 26 1 0 0 0
## 158 0 1 28 1 0 0 1
## 159 0 0 27 0 0 0 1
## 160 0 0 28 1 0 0 1
## 161 0 0 26 0 0 0 1
## 162 0 1 24 0 0 0 1
## 163 0 0 24 0 0 0 1
## 164 0 1 29 0 0 0 0
## 165 0 0 31 0 0 0 1
## 166 0 0 35 0 0 0 1
## 167 0 0 24 0 0 0 1
## 168 0 0 26 0 0 0 0
## 169 0 0 26 0 0 1 0
## 170 0 0 27 0 0 0 1
## 171 0 1 27 1 0 0 1
## 172 0 1 32 0 0 0 0
## 173 0 1 31 0 0 0 1
## 174 0 0 24 0 0 0 1
## 175 0 1 34 1 0 0 1
## 176 0 0 31 0 0 0 1
## 177 0 0 36 1 0 0 1
## 178 0 1 47 0 0 0 1
## 179 0 1 27 0 0 0 1
## 180 0 0 31 0 0 0 1
## 181 0 0 15 1 1 1 0
## 182 0 0 23 1 0 0 1
## 183 0 1 32 1 0 0 1
## 184 0 1 29 1 0 0 1
## 185 0 0 21 0 0 0 1
## 186 0 0 21 1 1 0 1
## 187 0 0 30 0 0 0 1
## 188 0 0 30 0 0 0 1
## 189 0 0 25 0 0 0 1
## 190 0 0 19 1 0 0 1
## 191 0 0 33 1 0 0 1
## 192 0 1 28 0 1 1 0
## 193 0 1 52 1 0 0 1
## 194 0 1 31 1 0 0 1
## 195 0 0 25 0 0 0 1
## 196 0 1 25 1 0 1 1
## 197 0 1 25 1 0 1 1
## 198 0 0 31 1 0 0 1
## 199 0 1 29 1 0 0 1
## 200 0 0 69 0 0 0 0
## 201 0 0 30 1 0 1 1
## 202 0 0 29 0 0 0 0
## 203 0 1 22 1 0 0 1
## 204 0 0 22 1 0 0 0
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## 206 0 0 21 1 0 0 1
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## 211 0 0 23 1 0 0 1
## 212 0 1 36 0 0 0 1
## 213 0 1 38 1 0 0 1
## 214 0 1 28 1 0 1 0
## 215 0 1 26 0 1 1 1
## 216 0 1 22 0 0 0 1
## 217 0 1 30 1 0 0 1
## 218 0 0 24 0 0 0 1
## 219 0 0 19 0 0 0 1
## 220 0 0 28 0 0 0 0
## 221 0 0 31 1 0 0 1
## 222 0 1 32 0 0 0 1
## 223 0 0 24 0 0 0 1
## 224 0 1 25 0 0 0 1
## 225 0 0 32 0 0 0 1
## 226 0 0 21 0 0 0 1
## 227 0 0 25 0 0 1 1
## 228 0 0 22 1 0 0 1
## 229 0 1 27 1 0 0 1
## 230 0 0 25 0 0 0 1
## 231 0 1 28 1 1 1 0
## 232 0 1 27 0 0 1 1
## 233 0 0 33 1 0 0 1
## 234 0 0 34 0 0 0 1
## 235 0 1 37 0 0 0 1
## 236 0 0 25 1 0 0 1
## 237 0 0 22 0 0 0 1
## 238 0 0 23 1 0 0 1
## 239 0 1 28 1 0 0 1
## 240 0 1 36 1 0 1 1
## 241 0 0 19 0 0 0 1
## 242 0 1 28 0 0 0 0
## 243 0 0 29 1 0 0 1
## 244 0 0 23 1 0 0 1
## 245 0 1 33 1 0 0 1
## 246 0 0 25 1 0 0 1
## 247 0 1 22 0 0 0 1
## 248 0 1 28 0 0 1 1
## 249 0 1 33 1 0 0 1
## 250 1 1 30 1 0 1 0
## 251 1 0 25 1 0 0 1
## 252 1 1 28 0 0 0 0
## 253 1 0 23 1 0 0 1
## 254 1 1 27 0 0 0 1
## 255 1 1 37 1 1 1 0
## 256 1 1 28 1 0 1 0
## 257 1 1 27 1 0 0 0
## 258 1 1 34 1 1 0 1
## 259 1 1 24 1 0 0 0
## 260 1 1 31 0 0 0 0
## 261 1 1 33 1 0 0 0
## 262 1 1 27 1 0 0 0
## 263 1 1 27 0 0 0 1
## 264 1 1 21 1 0 0 1
## 265 1 1 23 1 1 1 0
## 266 1 1 27 0 0 1 1
## 267 1 1 35 0 0 0 1
## 268 1 0 32 0 0 1 1
## 269 1 1 45 0 0 0 0
## 270 1 1 31 1 0 1 1
## 271 1 1 29 1 0 0 1
## 272 1 0 29 1 1 0 1
## 273 1 1 25 1 0 1 0
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## 275 1 1 30 0 0 0 1
## 276 1 1 32 1 0 0 1
## 277 1 0 29 0 0 0 0
## 278 1 1 24 1 0 0 1
## 279 1 1 28 0 0 0 0
## 280 1 1 29 1 0 0 1
## 281 1 1 29 0 0 0 0
## 282 1 1 26 0 0 0 1
## 283 1 1 33 0 0 0 1
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## 289 1 1 29 1 0 0 1
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## 325 1 1 25 1 0 0 0
## 326 1 0 43 0 0 0 0
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## 331 1 1 47 1 0 1 0
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## HvyAlcoholConsump AnyHealthcare GenHlth MentHlth PhysHlth Sex Age Education
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## 56 0 1 1 0 0 1 10 6
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## Income
## 1 8
## 2 8
## 3 8
## 4 8
## 5 8
## 6 7
## 7 6
## 8 3
## 9 8
## 10 4
## 11 6
## 12 8
## 13 8
## 14 6
## 15 1
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## 17 7
## 18 7
## 19 8
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## 25 3
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## 28 6
## 29 7
## 30 8
## 31 1
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## 34 2
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## 37 8
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## 40 8
## 41 8
## 42 8
## 43 2
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## 45 8
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## 48 6
## 49 8
## 50 6
## 51 7
## 52 6
## 53 6
## 54 8
## 55 7
## 56 7
## 57 8
## 58 8
## 59 8
## 60 5
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## 62 4
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## 64 7
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## 149 5
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## 162 8
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## 164 4
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## 167 8
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## 173 8
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## 200 2
## 201 8
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## 254 4
## 255 5
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## 257 7
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## 261 2
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## 268 2
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## 272 2
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## 351 1
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## 383 1
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## 385 1
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## 409 1
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## 412 1
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## 433 2
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## 451 1
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## 456 3
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## 459 7
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## 462 4
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## 464 6
## 465 3
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## 468 1
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## 474 5
## 475 5
## 476 7
## 477 4
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## 479 1
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## 481 2
## 482 3
## 483 7
## 484 7
## 485 6
## 486 7
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## 490 4
## 491 3
## 492 4
## 493 7
## 494 5
## 495 6
## 496 3
## 497 7
## 498 3
## 499 2head(data) # you see data, but no column names## Diabetes_binary HighBP BMI Smoker Stroke HeartDiseaseorAttack PhysActivity
## 1 0 1 26 0 0 0 1
## 2 0 1 26 1 1 0 0
## 3 0 0 26 0 0 0 1
## 4 0 1 28 1 0 0 1
## 5 0 0 29 1 0 0 1
## 6 0 0 18 0 0 0 1
## HvyAlcoholConsump AnyHealthcare GenHlth MentHlth PhysHlth Sex Age Education
## 1 0 1 3 5 30 1 4 6
## 2 0 1 3 0 0 1 12 6
## 3 0 1 1 0 10 1 13 6
## 4 0 1 3 0 3 1 11 6
## 5 0 1 2 0 0 0 8 5
## 6 0 0 2 7 0 0 1 4
## Income
## 1 8
## 2 8
## 3 8
## 4 8
## 5 8
## 6 7#####
## Exploratory Analysis
length(data$Sex) # check the length of the sex variable## [1] 499length(data$Diabetes_binary) # check the length of the Diabetes_binary variable## [1] 499xtabs(~ Diabetes_binary + Sex, data=data)## Sex
## Diabetes_binary 0 1
## 0 138 111
## 1 161 89xtabs(~ Diabetes_binary + Age, data=data)## Age
## Diabetes_binary 1 2 3 4 5 6 7 8 9 10 11 12 13
## 0 6 3 13 18 15 19 29 32 33 31 16 19 15
## 1 0 0 1 2 2 6 16 30 34 62 46 27 24xtabs(~ Diabetes_binary + Smoker, data=data)## Smoker
## Diabetes_binary 0 1
## 0 131 118
## 1 132 118xtabs(~ Diabetes_binary + BMI, data=data)## BMI
## Diabetes_binary 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
## 0 1 0 1 2 5 9 10 18 12 17 17 18 23 18 14 13 18 9 5 5 3
## 1 0 1 0 1 0 2 4 3 7 11 17 13 16 16 15 19 13 18 12 15 7
## BMI
## Diabetes_binary 36 37 38 39 40 41 42 43 44 45 46 47 48 49 52 55 58 59 69
## 0 9 5 5 0 3 1 1 0 1 0 0 3 0 0 1 0 1 0 1
## 1 7 13 2 3 5 4 5 7 1 4 1 2 1 2 1 1 0 1 0xtabs(~ Diabetes_binary + Stroke, data=data)## Stroke
## Diabetes_binary 0 1
## 0 240 9
## 1 214 36xtabs(~ Diabetes_binary + HighBP, data=data)## HighBP
## Diabetes_binary 0 1
## 0 151 98
## 1 46 204xtabs(~ Diabetes_binary + HvyAlcoholConsump, data=data)## HvyAlcoholConsump
## Diabetes_binary 0 1
## 0 235 14
## 1 244 6xtabs(~ Diabetes_binary + PhysHlth, data=data)## PhysHlth
## Diabetes_binary 0 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21
## 0 157 11 11 8 9 3 2 7 1 6 0 3 2 0 3 1
## 1 122 2 17 6 5 11 3 6 1 16 1 6 13 1 4 1
## PhysHlth
## Diabetes_binary 22 23 25 27 28 30
## 0 1 1 2 0 0 21
## 1 0 0 0 1 1 33logistic_simple <- glm(Diabetes_binary ~ Age, data=data, family="binomial")
summary(logistic_simple)##
## Call:
## glm(formula = Diabetes_binary ~ Age, family = "binomial", data = data)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -1.7346 -1.0487 0.7088 1.0469 2.0085
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -2.81250 0.38872 -7.235 4.64e-13 ***
## Age 0.31275 0.04126 7.580 3.46e-14 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 691.76 on 498 degrees of freedom
## Residual deviance: 620.66 on 497 degrees of freedom
## AIC: 624.66
##
## Number of Fisher Scoring iterations: 4# generating full multiple logistic regression
full_model <- glm(Diabetes_binary ~ Age + Sex + BMI, family = binomial(link = logit))
summary(full_model)##
## Call:
## glm(formula = Diabetes_binary ~ Age + Sex + BMI, family = binomial(link = logit))
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -2.8327 -0.9498 0.2288 0.9602 1.9884
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -6.30130 0.75344 -8.363 < 2e-16 ***
## Age 0.37306 0.04626 8.065 7.34e-16 ***
## Sex -0.57479 0.20906 -2.749 0.00597 **
## BMI 0.10595 0.01730 6.124 9.12e-10 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 691.76 on 498 degrees of freedom
## Residual deviance: 568.06 on 495 degrees of freedom
## AIC: 576.06
##
## Number of Fisher Scoring iterations: 4# exponentiate the confidence intervals around the log odds for each predictor variable to obtain the odds
exp(confint(full_model))## Waiting for profiling to be done...## 2.5 % 97.5 %
## (Intercept) 0.0003935826 0.007581183
## Age 1.3303551559 1.595323514
## Sex 0.3722926660 0.845726242
## BMI 1.0758775641 1.151485599## Lastly, let's see what this logistic regression predicts, given their ages
predicted.data <- data.frame(probability.of.Diabetes_binary=logistic_simple$fitted.values,age=data$Age)
predicted.data## probability.of.Diabetes_binary age
## 1 0.17343250 4
## 2 0.71920522 12
## 3 0.77786620 13
## 4 0.65198380 11
## 5 0.42299630 8
## 6 0.07587577 1
## 7 0.77786620 13
## 8 0.28171122 6
## 9 0.13305129 3
## 10 0.28171122 6
## 11 0.71920522 12
## 12 0.17343250 4
## 13 0.34904555 7
## 14 0.57810979 10
## 15 0.57810979 10
## 16 0.57810979 10
## 17 0.50056668 9
## 18 0.57810979 10
## 19 0.42299630 8
## 20 0.34904555 7
## 21 0.28171122 6
## 22 0.57810979 10
## 23 0.42299630 8
## 24 0.50056668 9
## 25 0.57810979 10
## 26 0.42299630 8
## 27 0.71920522 12
## 28 0.50056668 9
## 29 0.28171122 6
## 30 0.34904555 7
## 31 0.17343250 4
## 32 0.13305129 3
## 33 0.17343250 4
## 34 0.17343250 4
## 35 0.65198380 11
## 36 0.50056668 9
## 37 0.22291812 5
## 38 0.34904555 7
## 39 0.28171122 6
## 40 0.65198380 11
## 41 0.42299630 8
## 42 0.42299630 8
## 43 0.13305129 3
## 44 0.17343250 4
## 45 0.50056668 9
## 46 0.13305129 3
## 47 0.22291812 5
## 48 0.42299630 8
## 49 0.13305129 3
## 50 0.77786620 13
## 51 0.71920522 12
## 52 0.42299630 8
## 53 0.71920522 12
## 54 0.22291812 5
## 55 0.50056668 9
## 56 0.57810979 10
## 57 0.13305129 3
## 58 0.42299630 8
## 59 0.28171122 6
## 60 0.50056668 9
## 61 0.50056668 9
## 62 0.71920522 12
## 63 0.65198380 11
## 64 0.65198380 11
## 65 0.13305129 3
## 66 0.34904555 7
## 67 0.28171122 6
## 68 0.57810979 10
## 69 0.42299630 8
## 70 0.13305129 3
## 71 0.17343250 4
## 72 0.22291812 5
## 73 0.50056668 9
## 74 0.34904555 7
## 75 0.77786620 13
## 76 0.57810979 10
## 77 0.22291812 5
## 78 0.42299630 8
## 79 0.13305129 3
## 80 0.65198380 11
## 81 0.34904555 7
## 82 0.34904555 7
## 83 0.28171122 6
## 84 0.71920522 12
## 85 0.42299630 8
## 86 0.10092425 2
## 87 0.17343250 4
## 88 0.34904555 7
## 89 0.50056668 9
## 90 0.71920522 12
## 91 0.57810979 10
## 92 0.34904555 7
## 93 0.71920522 12
## 94 0.42299630 8
## 95 0.34904555 7
## 96 0.77786620 13
## 97 0.50056668 9
## 98 0.57810979 10
## 99 0.57810979 10
## 100 0.22291812 5
## 101 0.77786620 13
## 102 0.65198380 11
## 103 0.17343250 4
## 104 0.42299630 8
## 105 0.22291812 5
## 106 0.71920522 12
## 107 0.57810979 10
## 108 0.28171122 6
## 109 0.50056668 9
## 110 0.50056668 9
## 111 0.57810979 10
## 112 0.28171122 6
## 113 0.57810979 10
## 114 0.65198380 11
## 115 0.42299630 8
## 116 0.22291812 5
## 117 0.28171122 6
## 118 0.17343250 4
## 119 0.57810979 10
## 120 0.13305129 3
## 121 0.28171122 6
## 122 0.07587577 1
## 123 0.28171122 6
## 124 0.50056668 9
## 125 0.10092425 2
## 126 0.42299630 8
## 127 0.77786620 13
## 128 0.42299630 8
## 129 0.65198380 11
## 130 0.57810979 10
## 131 0.42299630 8
## 132 0.22291812 5
## 133 0.50056668 9
## 134 0.57810979 10
## 135 0.50056668 9
## 136 0.71920522 12
## 137 0.50056668 9
## 138 0.71920522 12
## 139 0.34904555 7
## 140 0.34904555 7
## 141 0.65198380 11
## 142 0.42299630 8
## 143 0.34904555 7
## 144 0.77786620 13
## 145 0.34904555 7
## 146 0.13305129 3
## 147 0.65198380 11
## 148 0.42299630 8
## 149 0.57810979 10
## 150 0.07587577 1
## 151 0.77786620 13
## 152 0.57810979 10
## 153 0.50056668 9
## 154 0.50056668 9
## 155 0.50056668 9
## 156 0.17343250 4
## 157 0.57810979 10
## 158 0.57810979 10
## 159 0.42299630 8
## 160 0.50056668 9
## 161 0.42299630 8
## 162 0.65198380 11
## 163 0.28171122 6
## 164 0.34904555 7
## 165 0.17343250 4
## 166 0.17343250 4
## 167 0.57810979 10
## 168 0.22291812 5
## 169 0.34904555 7
## 170 0.34904555 7
## 171 0.57810979 10
## 172 0.50056668 9
## 173 0.28171122 6
## 174 0.50056668 9
## 175 0.57810979 10
## 176 0.71920522 12
## 177 0.22291812 5
## 178 0.42299630 8
## 179 0.42299630 8
## 180 0.10092425 2
## 181 0.65198380 11
## 182 0.17343250 4
## 183 0.42299630 8
## 184 0.65198380 11
## 185 0.50056668 9
## 186 0.71920522 12
## 187 0.17343250 4
## 188 0.22291812 5
## 189 0.34904555 7
## 190 0.34904555 7
## 191 0.65198380 11
## 192 0.50056668 9
## 193 0.28171122 6
## 194 0.28171122 6
## 195 0.22291812 5
## 196 0.57810979 10
## 197 0.57810979 10
## 198 0.28171122 6
## 199 0.71920522 12
## 200 0.42299630 8
## 201 0.34904555 7
## 202 0.07587577 1
## 203 0.77786620 13
## 204 0.42299630 8
## 205 0.50056668 9
## 206 0.50056668 9
## 207 0.42299630 8
## 208 0.50056668 9
## 209 0.77786620 13
## 210 0.42299630 8
## 211 0.57810979 10
## 212 0.50056668 9
## 213 0.34904555 7
## 214 0.65198380 11
## 215 0.71920522 12
## 216 0.57810979 10
## 217 0.50056668 9
## 218 0.17343250 4
## 219 0.42299630 8
## 220 0.34904555 7
## 221 0.22291812 5
## 222 0.50056668 9
## 223 0.71920522 12
## 224 0.42299630 8
## 225 0.13305129 3
## 226 0.07587577 1
## 227 0.77786620 13
## 228 0.71920522 12
## 229 0.71920522 12
## 230 0.07587577 1
## 231 0.77786620 13
## 232 0.77786620 13
## 233 0.50056668 9
## 234 0.13305129 3
## 235 0.42299630 8
## 236 0.28171122 6
## 237 0.17343250 4
## 238 0.34904555 7
## 239 0.34904555 7
## 240 0.34904555 7
## 241 0.34904555 7
## 242 0.34904555 7
## 243 0.17343250 4
## 244 0.22291812 5
## 245 0.50056668 9
## 246 0.77786620 13
## 247 0.34904555 7
## 248 0.57810979 10
## 249 0.57810979 10
## 250 0.50056668 9
## 251 0.77786620 13
## 252 0.65198380 11
## 253 0.34904555 7
## 254 0.77786620 13
## 255 0.57810979 10
## 256 0.71920522 12
## 257 0.42299630 8
## 258 0.50056668 9
## 259 0.71920522 12
## 260 0.77786620 13
## 261 0.65198380 11
## 262 0.57810979 10
## 263 0.65198380 11
## 264 0.57810979 10
## 265 0.34904555 7
## 266 0.34904555 7
## 267 0.42299630 8
## 268 0.77786620 13
## 269 0.50056668 9
## 270 0.77786620 13
## 271 0.65198380 11
## 272 0.65198380 11
## 273 0.50056668 9
## 274 0.13305129 3
## 275 0.50056668 9
## 276 0.34904555 7
## 277 0.34904555 7
## 278 0.71920522 12
## 279 0.42299630 8
## 280 0.42299630 8
## 281 0.42299630 8
## 282 0.71920522 12
## 283 0.42299630 8
## 284 0.65198380 11
## 285 0.50056668 9
## 286 0.57810979 10
## 287 0.42299630 8
## 288 0.57810979 10
## 289 0.57810979 10
## 290 0.71920522 12
## 291 0.57810979 10
## 292 0.77786620 13
## 293 0.65198380 11
## 294 0.71920522 12
## 295 0.65198380 11
## 296 0.50056668 9
## 297 0.71920522 12
## 298 0.57810979 10
## 299 0.42299630 8
## 300 0.71920522 12
## 301 0.42299630 8
## 302 0.28171122 6
## 303 0.57810979 10
## 304 0.77786620 13
## 305 0.77786620 13
## 306 0.65198380 11
## 307 0.57810979 10
## 308 0.57810979 10
## 309 0.65198380 11
## 310 0.57810979 10
## 311 0.57810979 10
## 312 0.50056668 9
## 313 0.65198380 11
## 314 0.65198380 11
## 315 0.71920522 12
## 316 0.42299630 8
## 317 0.28171122 6
## 318 0.50056668 9
## 319 0.77786620 13
## 320 0.77786620 13
## 321 0.77786620 13
## 322 0.42299630 8
## 323 0.34904555 7
## 324 0.42299630 8
## 325 0.71920522 12
## 326 0.57810979 10
## 327 0.50056668 9
## 328 0.57810979 10
## 329 0.28171122 6
## 330 0.42299630 8
## 331 0.65198380 11
## 332 0.65198380 11
## 333 0.77786620 13
## 334 0.17343250 4
## 335 0.57810979 10
## 336 0.42299630 8
## 337 0.50056668 9
## 338 0.77786620 13
## 339 0.57810979 10
## 340 0.57810979 10
## 341 0.42299630 8
## 342 0.57810979 10
## 343 0.50056668 9
## 344 0.50056668 9
## 345 0.50056668 9
## 346 0.57810979 10
## 347 0.65198380 11
## 348 0.57810979 10
## 349 0.57810979 10
## 350 0.50056668 9
## 351 0.42299630 8
## 352 0.57810979 10
## 353 0.57810979 10
## 354 0.57810979 10
## 355 0.50056668 9
## 356 0.57810979 10
## 357 0.42299630 8
## 358 0.57810979 10
## 359 0.65198380 11
## 360 0.50056668 9
## 361 0.57810979 10
## 362 0.42299630 8
## 363 0.57810979 10
## 364 0.71920522 12
## 365 0.57810979 10
## 366 0.71920522 12
## 367 0.42299630 8
## 368 0.50056668 9
## 369 0.71920522 12
## 370 0.57810979 10
## 371 0.65198380 11
## 372 0.71920522 12
## 373 0.65198380 11
## 374 0.71920522 12
## 375 0.50056668 9
## 376 0.65198380 11
## 377 0.57810979 10
## 378 0.50056668 9
## 379 0.50056668 9
## 380 0.77786620 13
## 381 0.50056668 9
## 382 0.65198380 11
## 383 0.50056668 9
## 384 0.34904555 7
## 385 0.57810979 10
## 386 0.57810979 10
## 387 0.50056668 9
## 388 0.57810979 10
## 389 0.77786620 13
## 390 0.50056668 9
## 391 0.57810979 10
## 392 0.42299630 8
## 393 0.77786620 13
## 394 0.65198380 11
## 395 0.71920522 12
## 396 0.65198380 11
## 397 0.50056668 9
## 398 0.71920522 12
## 399 0.77786620 13
## 400 0.65198380 11
## 401 0.65198380 11
## 402 0.42299630 8
## 403 0.57810979 10
## 404 0.65198380 11
## 405 0.50056668 9
## 406 0.50056668 9
## 407 0.65198380 11
## 408 0.57810979 10
## 409 0.71920522 12
## 410 0.57810979 10
## 411 0.71920522 12
## 412 0.22291812 5
## 413 0.57810979 10
## 414 0.71920522 12
## 415 0.57810979 10
## 416 0.50056668 9
## 417 0.42299630 8
## 418 0.34904555 7
## 419 0.71920522 12
## 420 0.65198380 11
## 421 0.50056668 9
## 422 0.34904555 7
## 423 0.71920522 12
## 424 0.65198380 11
## 425 0.65198380 11
## 426 0.57810979 10
## 427 0.71920522 12
## 428 0.57810979 10
## 429 0.28171122 6
## 430 0.57810979 10
## 431 0.57810979 10
## 432 0.57810979 10
## 433 0.71920522 12
## 434 0.77786620 13
## 435 0.65198380 11
## 436 0.50056668 9
## 437 0.34904555 7
## 438 0.50056668 9
## 439 0.34904555 7
## 440 0.57810979 10
## 441 0.65198380 11
## 442 0.65198380 11
## 443 0.65198380 11
## 444 0.65198380 11
## 445 0.71920522 12
## 446 0.57810979 10
## 447 0.65198380 11
## 448 0.65198380 11
## 449 0.65198380 11
## 450 0.57810979 10
## 451 0.34904555 7
## 452 0.28171122 6
## 453 0.57810979 10
## 454 0.42299630 8
## 455 0.65198380 11
## 456 0.77786620 13
## 457 0.57810979 10
## 458 0.57810979 10
## 459 0.57810979 10
## 460 0.34904555 7
## 461 0.65198380 11
## 462 0.17343250 4
## 463 0.77786620 13
## 464 0.57810979 10
## 465 0.57810979 10
## 466 0.34904555 7
## 467 0.65198380 11
## 468 0.50056668 9
## 469 0.65198380 11
## 470 0.71920522 12
## 471 0.42299630 8
## 472 0.34904555 7
## 473 0.42299630 8
## 474 0.50056668 9
## 475 0.28171122 6
## 476 0.57810979 10
## 477 0.57810979 10
## 478 0.42299630 8
## 479 0.34904555 7
## 480 0.77786620 13
## 481 0.77786620 13
## 482 0.57810979 10
## 483 0.57810979 10
## 484 0.65198380 11
## 485 0.65198380 11
## 486 0.42299630 8
## 487 0.77786620 13
## 488 0.57810979 10
## 489 0.57810979 10
## 490 0.42299630 8
## 491 0.42299630 8
## 492 0.42299630 8
## 493 0.65198380 11
## 494 0.65198380 11
## 495 0.57810979 10
## 496 0.65198380 11
## 497 0.22291812 5
## 498 0.77786620 13
## 499 0.71920522 12## We can plot the data...
xtabs(~ probability.of.Diabetes_binary + age, data=predicted.data)## age
## probability.of.Diabetes_binary 1 2 3 4 5 6 7 8 9 10 11 12 13
## 0.0758757735453304 6 0 0 0 0 0 0 0 0 0 0 0 0
## 0.100924246975879 0 3 0 0 0 0 0 0 0 0 0 0 0
## 0.133051290963604 0 0 14 0 0 0 0 0 0 0 0 0 0
## 0.173432495218902 0 0 0 20 0 0 0 0 0 0 0 0 0
## 0.222918124585011 0 0 0 0 17 0 0 0 0 0 0 0 0
## 0.281711217893812 0 0 0 0 0 25 0 0 0 0 0 0 0
## 0.349045554314093 0 0 0 0 0 0 45 0 0 0 0 0 0
## 0.422996299599763 0 0 0 0 0 0 0 62 0 0 0 0 0
## 0.50056668094862 0 0 0 0 0 0 0 0 67 0 0 0 0
## 0.578109793353969 0 0 0 0 0 0 0 0 0 93 0 0 0
## 0.651983797051015 0 0 0 0 0 0 0 0 0 0 62 0 0
## 0.719205217178291 0 0 0 0 0 0 0 0 0 0 0 46 0
## 0.777866198525136 0 0 0 0 0 0 0 0 0 0 0 0 39logistic <- glm(Diabetes_binary ~ ., data=data, family="binomial")
summary(logistic)##
## Call:
## glm(formula = Diabetes_binary ~ ., family = "binomial", data = data)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -2.7023 -0.7008 0.1464 0.7107 2.3385
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -5.934978 1.298256 -4.571 4.84e-06 ***
## HighBP 1.004430 0.258644 3.883 0.000103 ***
## BMI 0.071747 0.020104 3.569 0.000359 ***
## Smoker -0.360526 0.244289 -1.476 0.139994
## Stroke 0.434285 0.451241 0.962 0.335837
## HeartDiseaseorAttack 0.009647 0.314612 0.031 0.975539
## PhysActivity -0.510892 0.263966 -1.935 0.052936 .
## HvyAlcoholConsump -0.049633 0.577585 -0.086 0.931521
## AnyHealthcare 0.305963 0.545361 0.561 0.574778
## GenHlth 0.772766 0.146000 5.293 1.20e-07 ***
## MentHlth -0.026902 0.015747 -1.708 0.087573 .
## PhysHlth -0.041897 0.014747 -2.841 0.004496 **
## Sex -0.261409 0.256194 -1.020 0.307558
## Age 0.282123 0.055244 5.107 3.27e-07 ***
## Education -0.045911 0.130553 -0.352 0.725088
## Income -0.141062 0.064429 -2.189 0.028567 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 691.76 on 498 degrees of freedom
## Residual deviance: 463.72 on 483 degrees of freedom
## AIC: 495.72
##
## Number of Fisher Scoring iterations: 5## Now calculate the overall "Pseudo R-squared" and its p-value
ll.null <- logistic$null.deviance/-2
ll.proposed <- logistic$deviance/-2
(ll.null - ll.proposed) / ll.null## [1] 0.3296513## The p-value for the R^2
1 - pchisq(2*(ll.proposed - ll.null), df=(length(logistic$coefficients)-1))## [1] 0predicted.data <- data.frame(probability.of.Diabetes_binary=logistic$fitted.values,Diabetes_binary=data$Diabetes_binary)
predicted.data <- predicted.data[order(predicted.data$probability.of.Diabetes_binary, decreasing=FALSE),]
predicted.data$rank <- 1:nrow(predicted.data)
## Lastly, we can plot the predicted probabilities for each sample having
## heart disease and color by whether or not they actually had heart disease
ggplot(data=predicted.data, aes(x=rank, y=probability.of.Diabetes_binary)) +
geom_point(aes(color=Diabetes_binary), alpha=1, shape=4, stroke=2) +
xlab("Index") +
ylab("Predicted probability of getting Diabetes")
# From Caret
pdata <- predict(logistic,newdata=data,type="response" )
pdata## 1 2 3 4 5 6
## 0.053147502 0.794618017 0.128032039 0.535811405 0.121819256 0.009137724
## 7 8 9 10 11 12
## 0.170565794 0.537471367 0.110729683 0.213823433 0.677374614 0.012160343
## 13 14 15 16 17 18
## 0.206968593 0.960014329 0.232116149 0.249837215 0.246037851 0.092932314
## 19 20 21 22 23 24
## 0.090592692 0.355096504 0.029313996 0.597084217 0.098628357 0.153728865
## 25 26 27 28 29 30
## 0.262198262 0.114696112 0.498059634 0.891279051 0.178015591 0.187212744
## 31 32 33 34 35 36
## 0.211025774 0.040161312 0.058719680 0.342134670 0.476478797 0.064515462
## 37 38 39 40 41 42
## 0.072791908 0.144252832 0.065529704 0.090576737 0.243461082 0.112485316
## 43 44 45 46 47 48
## 0.307276422 0.158536881 0.390337575 0.246047444 0.013230451 0.079715413
## 49 50 51 52 53 54
## 0.061267123 0.739928825 0.816928345 0.265902683 0.822694064 0.083901764
## 55 56 57 58 59 60
## 0.066173258 0.155261678 0.275160655 0.099753597 0.021075370 0.713388584
## 61 62 63 64 65 66
## 0.106747080 0.974041697 0.321182716 0.207806101 0.027652091 0.244083457
## 67 68 69 70 71 72
## 0.112337993 0.431966522 0.399805399 0.119460770 0.024065512 0.063121486
## 73 74 75 76 77 78
## 0.568178778 0.043963226 0.751115974 0.641809415 0.033131111 0.238456082
## 79 80 81 82 83 84
## 0.106633077 0.689646160 0.027210938 0.113808580 0.646494886 0.294568866
## 85 86 87 88 89 90
## 0.220671529 0.018865680 0.075703732 0.739930970 0.528881049 0.422922272
## 91 92 93 94 95 96
## 0.740864021 0.069862662 0.854684288 0.077125011 0.790951504 0.276712227
## 97 98 99 100 101 102
## 0.153905069 0.185331326 0.523492038 0.275088219 0.851646244 0.549579317
## 103 104 105 106 107 108
## 0.022886585 0.324309698 0.212156825 0.704844680 0.066447787 0.117697576
## 109 110 111 112 113 114
## 0.364256501 0.214772787 0.174428469 0.115452072 0.828995703 0.527289330
## 115 116 117 118 119 120
## 0.175624391 0.018448428 0.035333256 0.279611346 0.285219213 0.029303809
## 121 122 123 124 125 126
## 0.135506286 0.011409412 0.069161710 0.234880282 0.024386765 0.098776993
## 127 128 129 130 131 132
## 0.687478667 0.560145509 0.117369877 0.141290261 0.605562429 0.121556862
## 133 134 135 136 137 138
## 0.092530460 0.745744110 0.061495975 0.485374540 0.137155906 0.509618939
## 139 140 141 142 143 144
## 0.025324174 0.224955266 0.494671668 0.563531486 0.079261995 0.779061520
## 145 146 147 148 149 150
## 0.076220820 0.011664616 0.635980890 0.312202958 0.488549248 0.028332547
## 151 152 153 154 155 156
## 0.572051497 0.273480396 0.143899523 0.104205876 0.403446407 0.032437126
## 157 158 159 160 161 162
## 0.734225087 0.508242078 0.135763139 0.294423138 0.123830692 0.584851616
## 163 164 165 166 167 168
## 0.033684759 0.725378333 0.082200747 0.136183663 0.152310112 0.235398852
## 169 170 171 172 173 174
## 0.097108745 0.211893351 0.369849639 0.712847122 0.254069858 0.058884670
## 175 176 177 178 179 180
## 0.368525702 0.449735142 0.056728685 0.790535295 0.318267779 0.092068249
## 181 182 183 184 185 186
## 0.656910044 0.031778783 0.507891192 0.476099608 0.490951482 0.428449358
## 187 188 189 190 191 192
## 0.276304054 0.054101449 0.047142235 0.159160104 0.098382678 0.860706248
## 193 194 195 196 197 198
## 0.703205968 0.403878961 0.040370675 0.435257865 0.522304840 0.112242995
## 199 200 201 202 203 204
## 0.383647283 0.967851226 0.090902937 0.036736285 0.675821783 0.192059764
## 205 206 207 208 209 210
## 0.364182750 0.111219936 0.339907110 0.081839322 0.818041495 0.155696516
## 211 212 213 214 215 216
## 0.193781729 0.430872954 0.660805769 0.731920580 0.906120458 0.344369310
## 217 218 219 220 221 222
## 0.445005836 0.026114040 0.210273619 0.171255296 0.027350123 0.887162363
## 223 224 225 226 227 228
## 0.258544438 0.221237547 0.037151409 0.020203292 0.259880174 0.268882581
## 229 230 231 232 233 234
## 0.484924121 0.016862916 0.840967411 0.655852311 0.517959907 0.179467598
## 235 236 237 238 239 240
## 0.435948599 0.053531977 0.019097681 0.123352092 0.053284050 0.315309105
## 241 242 243 244 245 246
## 0.065357661 0.776620330 0.031834624 0.016776786 0.329798783 0.240041552
## 247 248 249 250 251 252
## 0.209476632 0.387595541 0.585597125 0.758649443 0.404622688 0.927487591
## 253 254 255 256 257 258
## 0.064936603 0.610221911 0.972248471 0.930377480 0.438572443 0.872222600
## 259 260 261 262 263 264
## 0.751550342 0.932647009 0.746776326 0.816263595 0.813883042 0.674881537
## 265 266 267 268 269 270
## 0.299448962 0.178719112 0.391434064 0.557754221 0.820465012 0.800009029
## 271 272 273 274 275 276
## 0.617339336 0.615673517 0.739946150 0.270718836 0.395859416 0.485675281
## 277 278 279 280 281 282
## 0.459014493 0.654361306 0.551333660 0.375390271 0.759068437 0.704150448
## 283 284 285 286 287 288
## 0.718983570 0.944162707 0.429259686 0.472586254 0.895068376 0.841431159
## 289 290 291 292 293 294
## 0.404698903 0.876624599 0.614025293 0.904805073 0.913883982 0.903448218
## 295 296 297 298 299 300
## 0.987577658 0.578890573 0.973658466 0.796189586 0.703557651 0.409173245
## 301 302 303 304 305 306
## 0.266789010 0.071554759 0.823369056 0.761839683 0.492289036 0.665108685
## 307 308 309 310 311 312
## 0.499379368 0.812282318 0.858071018 0.825374260 0.840598704 0.391912777
## 313 314 315 316 317 318
## 0.389086011 0.897643187 0.933791667 0.235643739 0.824965636 0.778580193
## 319 320 321 322 323 324
## 0.902224411 0.904241889 0.890813282 0.923696731 0.886176973 0.615616592
## 325 326 327 328 329 330
## 0.910328386 0.879614942 0.716003528 0.640465573 0.905374739 0.431191358
## 331 332 333 334 335 336
## 0.963054164 0.905061657 0.955798077 0.646370485 0.945670854 0.916678371
## 337 338 339 340 341 342
## 0.278274456 0.732606557 0.793828899 0.810602424 0.937720449 0.900608602
## 343 344 345 346 347 348
## 0.831384754 0.979040237 0.832415091 0.538575635 0.941433129 0.952221749
## 349 350 351 352 353 354
## 0.669834447 0.671161524 0.924550821 0.989341506 0.587749818 0.104523153
## 355 356 357 358 359 360
## 0.639402384 0.203733958 0.796066402 0.828028017 0.392087607 0.868122793
## 361 362 363 364 365 366
## 0.848075776 0.828177977 0.370713057 0.891226405 0.639201545 0.846526030
## 367 368 369 370 371 372
## 0.707248335 0.873092943 0.937068360 0.256727871 0.836838999 0.858887583
## 373 374 375 376 377 378
## 0.286555838 0.581353227 0.614980867 0.638211224 0.424935203 0.135419311
## 379 380 381 382 383 384
## 0.427249149 0.793639694 0.706904092 0.401602498 0.921180886 0.955935236
## 385 386 387 388 389 390
## 0.803001686 0.804725594 0.585287191 0.841770507 0.604540259 0.572309464
## 391 392 393 394 395 396
## 0.853289339 0.291536376 0.712430964 0.471044246 0.294609457 0.590321792
## 397 398 399 400 401 402
## 0.418028442 0.865985519 0.876350596 0.808080029 0.745210376 0.873418953
## 403 404 405 406 407 408
## 0.795822016 0.879094676 0.352712972 0.846494179 0.844313748 0.384399002
## 409 410 411 412 413 414
## 0.930148317 0.326369188 0.864618920 0.891290956 0.952860577 0.884264636
## 415 416 417 418 419 420
## 0.299059174 0.650435361 0.363008387 0.640907512 0.745267505 0.877731399
## 421 422 423 424 425 426
## 0.752916278 0.787989091 0.522118819 0.666486115 0.487132255 0.624679627
## 427 428 429 430 431 432
## 0.718482076 0.875797365 0.117533228 0.757789989 0.203506959 0.869863813
## 433 434 435 436 437 438
## 0.862650287 0.938966323 0.979840460 0.511939899 0.235147791 0.798553696
## 439 440 441 442 443 444
## 0.432366934 0.831636623 0.385161194 0.775048399 0.960893465 0.804194522
## 445 446 447 448 449 450
## 0.914375274 0.758659317 0.862114219 0.715443996 0.583309480 0.880286847
## 451 452 453 454 455 456
## 0.534039540 0.394259087 0.917071607 0.519966895 0.848957707 0.536736216
## 457 458 459 460 461 462
## 0.939911105 0.767999743 0.896672227 0.614311596 0.908475939 0.187889158
## 463 464 465 466 467 468
## 0.804252786 0.946623113 0.696431295 0.853443453 0.887381734 0.921585549
## 469 470 471 472 473 474
## 0.981567779 0.813725775 0.459366079 0.643469776 0.705872177 0.825603545
## 475 476 477 478 479 480
## 0.794236942 0.685982915 0.768733316 0.840233175 0.503923087 0.470347760
## 481 482 483 484 485 486
## 0.969660246 0.972483278 0.602312190 0.359448042 0.816007762 0.838798946
## 487 488 489 490 491 492
## 0.890805538 0.972939731 0.514864868 0.862585238 0.897904534 0.833652153
## 493 494 495 496 497 498
## 0.904570302 0.391070238 0.620894735 0.943309149 0.215835319 0.877027816
## 499
## 0.972516621data$Diabetes_binary## [1] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [38] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [75] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [112] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [149] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [186] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [223] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1
## [260] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [297] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [334] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [371] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [408] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [445] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [482] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1pdataF <- as.factor(ifelse(test=as.numeric(pdata>0.5) == 0, yes="Diabetic", no="Not-Diabetic"))
#From e1071::
#confusionMatrix(pdataF, data$Diabetes_binary)
# From pROC
roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE)## Setting levels: control = 0, case = 1## Setting direction: controls < cases##
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values, plot = TRUE)
##
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 0.8606par(pty = "s")
roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
##
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values, plot = TRUE)
##
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 0.8606## NOTE: By default, roc() uses specificity on the x-axis and the values range
## from 1 to 0. This makes the graph look like what we would expect, but the
## x-axis itself might induce a headache. To use 1-specificity (i.e. the
## False Positive Rate) on the x-axis, set "legacy.axes" to TRUE.
roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
##
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values, plot = TRUE, legacy.axes = TRUE)
##
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 0.8606roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage")## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
##
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values, plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage", ylab = "True Postive Percentage")
##
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 0.8606roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
##
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values, plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage", ylab = "True Postive Percentage", col = "#377eb8", lwd = 4)
##
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 0.8606roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases##
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values, plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage", ylab = "True Postive Percentage", col = "#377eb8", lwd = 4)
##
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 0.8606## If we want to find out the optimal threshold we can store the
## data used to make the ROC graph in a variable...
roc.info <- roc(data$Diabetes_binary, logistic$fitted.values, legacy.axes=TRUE)## Setting levels: control = 0, case = 1
## Setting direction: controls < casesstr(roc.info)## List of 15
## $ percent : logi FALSE
## $ sensitivities : num [1:500] 1 1 1 1 1 1 1 1 1 1 ...
## $ specificities : num [1:500] 0 0.00402 0.00803 0.01205 0.01606 ...
## $ thresholds : num [1:500] -Inf 0.0103 0.0115 0.0119 0.0127 ...
## $ direction : chr "<"
## $ cases : Named num [1:250] 0.7586 0.4046 0.9275 0.0649 0.6102 ...
## ..- attr(*, "names")= chr [1:250] "250" "251" "252" "253" ...
## $ controls : Named num [1:249] 0.0531 0.7946 0.128 0.5358 0.1218 ...
## ..- attr(*, "names")= chr [1:249] "1" "2" "3" "4" ...
## $ fun.sesp :function (thresholds, controls, cases, direction)
## $ auc : 'auc' num 0.861
## ..- attr(*, "partial.auc")= logi FALSE
## ..- attr(*, "percent")= logi FALSE
## ..- attr(*, "roc")=List of 15
## .. ..$ percent : logi FALSE
## .. ..$ sensitivities : num [1:500] 1 1 1 1 1 1 1 1 1 1 ...
## .. ..$ specificities : num [1:500] 0 0.00402 0.00803 0.01205 0.01606 ...
## .. ..$ thresholds : num [1:500] -Inf 0.0103 0.0115 0.0119 0.0127 ...
## .. ..$ direction : chr "<"
## .. ..$ cases : Named num [1:250] 0.7586 0.4046 0.9275 0.0649 0.6102 ...
## .. .. ..- attr(*, "names")= chr [1:250] "250" "251" "252" "253" ...
## .. ..$ controls : Named num [1:249] 0.0531 0.7946 0.128 0.5358 0.1218 ...
## .. .. ..- attr(*, "names")= chr [1:249] "1" "2" "3" "4" ...
## .. ..$ fun.sesp :function (thresholds, controls, cases, direction)
## .. ..$ auc : 'auc' num 0.861
## .. .. ..- attr(*, "partial.auc")= logi FALSE
## .. .. ..- attr(*, "percent")= logi FALSE
## .. .. ..- attr(*, "roc")=List of 8
## .. .. .. ..$ percent : logi FALSE
## .. .. .. ..$ sensitivities: num [1:500] 1 1 1 1 1 1 1 1 1 1 ...
## .. .. .. ..$ specificities: num [1:500] 0 0.00402 0.00803 0.01205 0.01606 ...
## .. .. .. ..$ thresholds : num [1:500] -Inf 0.0103 0.0115 0.0119 0.0127 ...
## .. .. .. ..$ direction : chr "<"
## .. .. .. ..$ cases : Named num [1:250] 0.7586 0.4046 0.9275 0.0649 0.6102 ...
## .. .. .. .. ..- attr(*, "names")= chr [1:250] "250" "251" "252" "253" ...
## .. .. .. ..$ controls : Named num [1:249] 0.0531 0.7946 0.128 0.5358 0.1218 ...
## .. .. .. .. ..- attr(*, "names")= chr [1:249] "1" "2" "3" "4" ...
## .. .. .. ..$ fun.sesp :function (thresholds, controls, cases, direction)
## .. .. .. ..- attr(*, "class")= chr "roc"
## .. ..$ call : language roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values, legacy.axes = TRUE)
## .. ..$ original.predictor: Named num [1:499] 0.0531 0.7946 0.128 0.5358 0.1218 ...
## .. .. ..- attr(*, "names")= chr [1:499] "1" "2" "3" "4" ...
## .. ..$ original.response : int [1:499] 0 0 0 0 0 0 0 0 0 0 ...
## .. ..$ predictor : Named num [1:499] 0.0531 0.7946 0.128 0.5358 0.1218 ...
## .. .. ..- attr(*, "names")= chr [1:499] "1" "2" "3" "4" ...
## .. ..$ response : int [1:499] 0 0 0 0 0 0 0 0 0 0 ...
## .. ..$ levels : chr [1:2] "0" "1"
## .. ..- attr(*, "class")= chr "roc"
## $ call : language roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values, legacy.axes = TRUE)
## $ original.predictor: Named num [1:499] 0.0531 0.7946 0.128 0.5358 0.1218 ...
## ..- attr(*, "names")= chr [1:499] "1" "2" "3" "4" ...
## $ original.response : int [1:499] 0 0 0 0 0 0 0 0 0 0 ...
## $ predictor : Named num [1:499] 0.0531 0.7946 0.128 0.5358 0.1218 ...
## ..- attr(*, "names")= chr [1:499] "1" "2" "3" "4" ...
## $ response : int [1:499] 0 0 0 0 0 0 0 0 0 0 ...
## $ levels : chr [1:2] "0" "1"
## - attr(*, "class")= chr "roc"## tpp = true positive percentage
## fpp = false positive precentage
roc.df <- data.frame(tpp=roc.info$sensitivities*100, fpp=(1 - roc.info$specificities)*100,thresholds=roc.info$thresholds)
roc.df## tpp fpp thresholds
## 1 100.0 100.0000000 -Inf
## 2 100.0 99.5983936 0.01027357
## 3 100.0 99.1967871 0.01153701
## 4 100.0 98.7951807 0.01191248
## 5 100.0 98.3935743 0.01269540
## 6 100.0 97.9919679 0.01500362
## 7 100.0 97.5903614 0.01681985
## 8 100.0 97.1887550 0.01765567
## 9 100.0 96.7871486 0.01865705
## 10 100.0 96.3855422 0.01898168
## 11 100.0 95.9839357 0.01965049
## 12 100.0 95.5823293 0.02063933
## 13 100.0 95.1807229 0.02198098
## 14 100.0 94.7791165 0.02347605
## 15 100.0 94.3775100 0.02422614
## 16 100.0 93.9759036 0.02485547
## 17 100.0 93.5742972 0.02571911
## 18 100.0 93.1726908 0.02666249
## 19 100.0 92.7710843 0.02728053
## 20 100.0 92.3694779 0.02750111
## 21 100.0 91.9678715 0.02799232
## 22 100.0 91.5662651 0.02881818
## 23 100.0 91.1646586 0.02930890
## 24 100.0 90.7630522 0.03054639
## 25 100.0 90.3614458 0.03180670
## 26 100.0 89.9598394 0.03213587
## 27 100.0 89.5582329 0.03278412
## 28 100.0 89.1566265 0.03340793
## 29 100.0 88.7550201 0.03450901
## 30 100.0 88.3534137 0.03603477
## 31 100.0 87.9518072 0.03694385
## 32 100.0 87.5502008 0.03865636
## 33 100.0 87.1485944 0.04026599
## 34 100.0 86.7469880 0.04216695
## 35 100.0 86.3453815 0.04555273
## 36 100.0 85.9437751 0.05014487
## 37 100.0 85.5421687 0.05321578
## 38 100.0 85.1405622 0.05340801
## 39 100.0 84.7389558 0.05381671
## 40 100.0 84.3373494 0.05541507
## 41 100.0 83.9357430 0.05772418
## 42 100.0 83.5341365 0.05880217
## 43 100.0 83.1325301 0.06007590
## 44 100.0 82.7309237 0.06138155
## 45 100.0 82.3293173 0.06230873
## 46 100.0 81.9277108 0.06381847
## 47 100.0 81.5261044 0.06472603
## 48 99.6 81.5261044 0.06514713
## 49 99.6 81.1244980 0.06544368
## 50 99.6 80.7228916 0.06585148
## 51 99.6 80.3212851 0.06631052
## 52 99.6 79.9196787 0.06780475
## 53 99.6 79.5180723 0.06951219
## 54 99.6 79.1164659 0.07070871
## 55 99.2 79.1164659 0.07217333
## 56 99.2 78.7148594 0.07424782
## 57 99.2 78.3132530 0.07596228
## 58 99.2 77.9116466 0.07667292
## 59 99.2 77.5100402 0.07819350
## 60 99.2 77.1084337 0.07948870
## 61 99.2 76.7068273 0.08077737
## 62 99.2 76.3052209 0.08202003
## 63 99.2 75.9036145 0.08305126
## 64 99.2 75.5020080 0.08723925
## 65 99.2 75.1004016 0.09058471
## 66 99.2 74.6987952 0.09074781
## 67 99.2 74.2971888 0.09148559
## 68 99.2 73.8955823 0.09229935
## 69 99.2 73.4939759 0.09273139
## 70 99.2 73.0923695 0.09502053
## 71 99.2 72.6907631 0.09774571
## 72 99.2 72.2891566 0.09850552
## 73 99.2 71.8875502 0.09870268
## 74 99.2 71.4859438 0.09926530
## 75 99.2 71.0843373 0.10197974
## 76 99.2 70.6827309 0.10436451
## 77 98.8 70.6827309 0.10557811
## 78 98.8 70.2811245 0.10669008
## 79 98.8 69.8795181 0.10873838
## 80 98.8 69.4779116 0.11097481
## 81 98.8 69.0763052 0.11173147
## 82 98.8 68.6746988 0.11229049
## 83 98.8 68.2730924 0.11241165
## 84 98.8 67.8714859 0.11314695
## 85 98.8 67.4698795 0.11425235
## 86 98.8 67.0682731 0.11507409
## 87 98.8 66.6666667 0.11641097
## 88 98.8 66.2650602 0.11745155
## 89 98.4 66.2650602 0.11761540
## 90 98.4 65.8634538 0.11857917
## 91 98.4 65.4618474 0.12050882
## 92 98.4 65.0602410 0.12168806
## 93 98.4 64.6586345 0.12258567
## 94 98.4 64.2570281 0.12359139
## 95 98.4 63.8554217 0.12593137
## 96 98.4 63.4538153 0.13172567
## 97 98.0 63.4538153 0.13546280
## 98 98.0 63.0522088 0.13563471
## 99 98.0 62.6506024 0.13597340
## 100 98.0 62.2489960 0.13666978
## 101 98.0 61.8473896 0.13922308
## 102 98.0 61.4457831 0.14259489
## 103 98.0 61.0441767 0.14407618
## 104 98.0 60.6425703 0.14828147
## 105 98.0 60.2409639 0.15301949
## 106 98.0 59.8393574 0.15381697
## 107 98.0 59.4377510 0.15458337
## 108 98.0 59.0361446 0.15547910
## 109 98.0 58.6345382 0.15711670
## 110 98.0 58.2329317 0.15884849
## 111 98.0 57.8313253 0.16486295
## 112 98.0 57.4297189 0.17091055
## 113 98.0 57.0281124 0.17284188
## 114 98.0 56.6265060 0.17502643
## 115 98.0 56.2248996 0.17681999
## 116 98.0 55.8232932 0.17836735
## 117 97.6 55.8232932 0.17909335
## 118 97.6 55.4216867 0.18239946
## 119 97.6 55.0200803 0.18627204
## 120 97.6 54.6184739 0.18755095
## 121 97.2 54.6184739 0.18997446
## 122 97.2 54.2168675 0.19292075
## 123 97.2 53.8152610 0.19864434
## 124 96.8 53.8152610 0.20362046
## 125 96.4 53.8152610 0.20535128
## 126 96.4 53.4136546 0.20738735
## 127 96.4 53.0120482 0.20864137
## 128 96.4 52.6104418 0.20987513
## 129 96.4 52.2088353 0.21064970
## 130 96.4 51.8072289 0.21145956
## 131 96.4 51.4056225 0.21202509
## 132 96.4 51.0040161 0.21299013
## 133 96.4 50.6024096 0.21429811
## 134 96.4 50.2008032 0.21530405
## 135 96.0 50.2008032 0.21825342
## 136 96.0 49.7991968 0.22095454
## 137 96.0 49.3975904 0.22309641
## 138 96.0 48.9959839 0.22853571
## 139 96.0 48.5943775 0.23349822
## 140 96.0 48.1927711 0.23501404
## 141 95.6 48.1927711 0.23527332
## 142 95.6 47.7911647 0.23552130
## 143 95.2 47.7911647 0.23704991
## 144 95.2 47.3895582 0.23924882
## 145 95.2 46.9879518 0.24175132
## 146 95.2 46.5863454 0.24377227
## 147 95.2 46.1847390 0.24506065
## 148 95.2 45.7831325 0.24604265
## 149 95.2 45.3815261 0.24794233
## 150 95.2 44.9799197 0.25195354
## 151 95.2 44.5783133 0.25539886
## 152 94.8 44.5783133 0.25763615
## 153 94.8 44.1767068 0.25921231
## 154 94.8 43.7751004 0.26103922
## 155 94.8 43.3734940 0.26405047
## 156 94.8 42.9718876 0.26634585
## 157 94.4 42.9718876 0.26783580
## 158 94.4 42.5702811 0.26980071
## 159 94.0 42.5702811 0.27209962
## 160 94.0 42.1686747 0.27428431
## 161 94.0 41.7670683 0.27512444
## 162 94.0 41.3654618 0.27573235
## 163 94.0 40.9638554 0.27650814
## 164 94.0 40.5622490 0.27749334
## 165 93.6 40.5622490 0.27894290
## 166 93.6 40.1606426 0.28241528
## 167 93.6 39.7590361 0.28588753
## 168 93.2 39.7590361 0.28904611
## 169 92.8 39.7590361 0.29297976
## 170 92.8 39.3574297 0.29449600
## 171 92.8 38.9558233 0.29458916
## 172 92.4 38.9558233 0.29683432
## 173 92.0 38.9558233 0.29925407
## 174 91.6 38.9558233 0.30336269
## 175 91.6 38.5542169 0.30973969
## 176 91.6 38.1526104 0.31375603
## 177 91.6 37.7510040 0.31678844
## 178 91.6 37.3493976 0.31972525
## 179 91.6 36.9477912 0.32274621
## 180 91.6 36.5461847 0.32533944
## 181 91.2 36.5461847 0.32808399
## 182 91.2 36.1445783 0.33485295
## 183 91.2 35.7429719 0.34102089
## 184 91.2 35.3413655 0.34325199
## 185 91.2 34.9397590 0.34854114
## 186 90.8 34.9397590 0.35390474
## 187 90.8 34.5381526 0.35727227
## 188 90.4 34.5381526 0.36122821
## 189 90.0 34.5381526 0.36359557
## 190 90.0 34.1365462 0.36421963
## 191 90.0 33.7349398 0.36639110
## 192 90.0 33.3333333 0.36918767
## 193 90.0 32.9317269 0.37028135
## 194 89.6 32.9317269 0.37305166
## 195 89.2 32.9317269 0.37951878
## 196 89.2 32.5301205 0.38402314
## 197 88.8 32.5301205 0.38478010
## 198 88.4 32.5301205 0.38637837
## 199 88.4 32.1285141 0.38834078
## 200 88.0 32.1285141 0.38971179
## 201 88.0 31.7269076 0.39070391
## 202 87.6 31.7269076 0.39125215
## 203 87.2 31.7269076 0.39167342
## 204 86.8 31.7269076 0.39200019
## 205 86.4 31.7269076 0.39317335
## 206 86.0 31.7269076 0.39505925
## 207 85.6 31.7269076 0.39783241
## 208 85.6 31.3253012 0.40070395
## 209 85.2 31.3253012 0.40252445
## 210 85.2 30.9236948 0.40366268
## 211 85.2 30.5220884 0.40425082
## 212 84.8 30.5220884 0.40466080
## 213 84.4 30.5220884 0.40693607
## 214 84.0 30.5220884 0.41360084
## 215 83.6 30.5220884 0.42047536
## 216 83.6 30.1204819 0.42392874
## 217 83.2 30.1204819 0.42609218
## 218 82.8 30.1204819 0.42784925
## 219 82.8 29.7188755 0.42885452
## 220 82.4 29.7188755 0.43006632
## 221 82.4 29.3172691 0.43103216
## 222 82.0 29.3172691 0.43157894
## 223 82.0 28.9156627 0.43216673
## 224 81.6 28.9156627 0.43381240
## 225 81.6 28.5140562 0.43560323
## 226 81.6 28.1124498 0.43726052
## 227 81.2 28.1124498 0.44178914
## 228 81.2 27.7108434 0.44737049
## 229 81.2 27.3092369 0.45437482
## 230 80.8 27.3092369 0.45919029
## 231 80.4 27.3092369 0.46485692
## 232 80.0 27.3092369 0.47069600
## 233 79.6 27.3092369 0.47181525
## 234 79.2 27.3092369 0.47434293
## 235 79.2 26.9076305 0.47628920
## 236 79.2 26.5060241 0.48070146
## 237 79.2 26.1044177 0.48514933
## 238 79.2 25.7028112 0.48552491
## 239 78.8 25.7028112 0.48640377
## 240 78.4 25.7028112 0.48784075
## 241 78.4 25.3012048 0.48975036
## 242 78.4 24.8995984 0.49162026
## 243 78.0 24.8995984 0.49348035
## 244 78.0 24.4979920 0.49636565
## 245 78.0 24.0963855 0.49871950
## 246 77.6 24.0963855 0.50165123
## 247 77.2 24.0963855 0.50590714
## 248 77.2 23.6947791 0.50806663
## 249 77.2 23.2931727 0.50893051
## 250 77.2 22.8915663 0.51077942
## 251 76.8 22.8915663 0.51340238
## 252 76.4 22.8915663 0.51641239
## 253 76.4 22.4899598 0.51896340
## 254 76.0 22.4899598 0.52104286
## 255 75.6 22.4899598 0.52221183
## 256 75.6 22.0883534 0.52289844
## 257 75.6 21.6867470 0.52539068
## 258 75.6 21.2851406 0.52808519
## 259 75.6 20.8835341 0.53146029
## 260 75.2 20.8835341 0.53492547
## 261 75.2 20.4819277 0.53627381
## 262 74.8 20.4819277 0.53710379
## 263 74.8 20.0803213 0.53802350
## 264 74.4 20.0803213 0.54407748
## 265 74.4 19.6787149 0.55045649
## 266 74.0 19.6787149 0.55454394
## 267 73.6 19.6787149 0.55894986
## 268 73.6 19.2771084 0.56183850
## 269 73.6 18.8755020 0.56585513
## 270 73.6 18.4738956 0.57011514
## 271 73.6 18.0722892 0.57218048
## 272 73.2 18.0722892 0.57560002
## 273 72.8 18.0722892 0.58012190
## 274 72.4 18.0722892 0.58233135
## 275 72.0 18.0722892 0.58408055
## 276 72.0 17.6706827 0.58506940
## 277 71.6 17.6706827 0.58544216
## 278 71.6 17.2690763 0.58667347
## 279 71.2 17.2690763 0.58903580
## 280 70.8 17.2690763 0.59370300
## 281 70.8 16.8674699 0.59969820
## 282 70.4 16.8674699 0.60342622
## 283 70.0 16.8674699 0.60505134
## 284 70.0 16.4658635 0.60789217
## 285 69.6 16.4658635 0.61212360
## 286 69.2 16.4658635 0.61416844
## 287 68.8 16.4658635 0.61464623
## 288 68.4 16.4658635 0.61529873
## 289 68.0 16.4658635 0.61564505
## 290 67.6 16.4658635 0.61650643
## 291 67.2 16.4658635 0.61911704
## 292 66.8 16.4658635 0.62278718
## 293 66.4 16.4658635 0.63033026
## 294 66.4 16.0642570 0.63709606
## 295 66.0 16.0642570 0.63870638
## 296 65.6 16.0642570 0.63930196
## 297 65.2 16.0642570 0.63993398
## 298 64.8 16.0642570 0.64068654
## 299 64.4 16.0642570 0.64135846
## 300 64.4 15.6626506 0.64263960
## 301 64.0 15.6626506 0.64492013
## 302 63.6 15.6626506 0.64643269
## 303 63.6 15.2610442 0.64846512
## 304 63.2 15.2610442 0.65239833
## 305 62.8 15.2610442 0.65510681
## 306 62.8 14.8594378 0.65638118
## 307 62.8 14.4578313 0.65885791
## 308 62.8 14.0562249 0.66295723
## 309 62.4 14.0562249 0.66579740
## 310 62.0 14.0562249 0.66816028
## 311 61.6 14.0562249 0.67049799
## 312 61.2 14.0562249 0.67302153
## 313 60.8 14.0562249 0.67535166
## 314 60.8 13.6546185 0.67659820
## 315 60.8 13.2530120 0.68167876
## 316 60.4 13.2530120 0.68673079
## 317 60.4 12.8514056 0.68856241
## 318 60.4 12.4497992 0.69303873
## 319 60.0 12.4497992 0.69981863
## 320 60.0 12.0481928 0.70338181
## 321 59.6 12.0481928 0.70385405
## 322 59.2 12.0481928 0.70449756
## 323 59.2 11.6465863 0.70535843
## 324 58.8 11.6465863 0.70638813
## 325 58.4 11.6465863 0.70707621
## 326 58.0 11.6465863 0.70983965
## 327 57.6 11.6465863 0.71263904
## 328 57.6 11.2449799 0.71311785
## 329 57.6 10.8433735 0.71441629
## 330 57.2 10.8433735 0.71572376
## 331 56.8 10.8433735 0.71724280
## 332 56.4 10.8433735 0.71873282
## 333 56.0 10.8433735 0.72218095
## 334 56.0 10.4417671 0.72864946
## 335 56.0 10.0401606 0.73226357
## 336 55.6 10.0401606 0.73341582
## 337 55.6 9.6385542 0.73707696
## 338 55.6 9.2369478 0.73992990
## 339 55.6 8.8353414 0.73993856
## 340 55.2 8.8353414 0.74040509
## 341 55.2 8.4337349 0.74303720
## 342 54.8 8.4337349 0.74523894
## 343 54.4 8.4337349 0.74550581
## 344 54.4 8.0321285 0.74626022
## 345 54.0 8.0321285 0.74894615
## 346 54.0 7.6305221 0.75133316
## 347 53.6 7.6305221 0.75223331
## 348 53.2 7.6305221 0.75535313
## 349 52.8 7.6305221 0.75821972
## 350 52.4 7.6305221 0.75865438
## 351 52.0 7.6305221 0.75886388
## 352 51.6 7.6305221 0.76045406
## 353 51.2 7.6305221 0.76491971
## 354 50.8 7.6305221 0.76836653
## 355 50.4 7.6305221 0.77189086
## 356 50.0 7.6305221 0.77583436
## 357 50.0 7.2289157 0.77760026
## 358 49.6 7.2289157 0.77882086
## 359 49.6 6.8273092 0.78352531
## 360 49.2 6.8273092 0.78926219
## 361 49.2 6.4257028 0.79074340
## 362 49.2 6.0240964 0.79229560
## 363 48.8 6.0240964 0.79373430
## 364 48.4 6.0240964 0.79403292
## 365 48.0 6.0240964 0.79442748
## 366 48.0 5.6224900 0.79522002
## 367 47.6 5.6224900 0.79594421
## 368 47.2 5.6224900 0.79612799
## 369 46.8 5.6224900 0.79737164
## 370 46.4 5.6224900 0.79928136
## 371 46.0 5.6224900 0.80150536
## 372 45.6 5.6224900 0.80359810
## 373 45.2 5.6224900 0.80422365
## 374 44.8 5.6224900 0.80448919
## 375 44.4 5.6224900 0.80640281
## 376 44.0 5.6224900 0.80934123
## 377 43.6 5.6224900 0.81144237
## 378 43.2 5.6224900 0.81300405
## 379 42.8 5.6224900 0.81380441
## 380 42.4 5.6224900 0.81494540
## 381 42.0 5.6224900 0.81613568
## 382 41.6 5.6224900 0.81659597
## 383 41.6 5.2208835 0.81748492
## 384 41.6 4.8192771 0.81925325
## 385 41.2 4.8192771 0.82157954
## 386 41.2 4.4176707 0.82303156
## 387 40.8 4.4176707 0.82416735
## 388 40.4 4.4176707 0.82516995
## 389 40.0 4.4176707 0.82548890
## 390 39.6 4.4176707 0.82681578
## 391 39.2 4.4176707 0.82810300
## 392 38.8 4.4176707 0.82858684
## 393 38.8 4.0160643 0.83019023
## 394 38.4 4.0160643 0.83151069
## 395 38.0 4.0160643 0.83202586
## 396 37.6 4.0160643 0.83303362
## 397 37.2 4.0160643 0.83524558
## 398 36.8 4.0160643 0.83781897
## 399 36.4 4.0160643 0.83951606
## 400 36.0 4.0160643 0.84041594
## 401 35.6 4.0160643 0.84078306
## 402 35.6 3.6144578 0.84119928
## 403 35.2 3.6144578 0.84160083
## 404 34.8 3.6144578 0.84304213
## 405 34.4 3.6144578 0.84540396
## 406 34.0 3.6144578 0.84651010
## 407 33.6 3.6144578 0.84730090
## 408 33.2 3.6144578 0.84851674
## 409 32.8 3.6144578 0.85030198
## 410 32.8 3.2128514 0.85246779
## 411 32.4 3.2128514 0.85336640
## 412 32.0 3.2128514 0.85406387
## 413 32.0 2.8112450 0.85637765
## 414 31.6 2.8112450 0.85847930
## 415 31.2 2.8112450 0.85979692
## 416 31.2 2.4096386 0.86141023
## 417 30.8 2.4096386 0.86234973
## 418 30.4 2.4096386 0.86261776
## 419 30.0 2.4096386 0.86363460
## 420 29.6 2.4096386 0.86530222
## 421 29.2 2.4096386 0.86705416
## 422 28.8 2.4096386 0.86899330
## 423 28.4 2.4096386 0.87104321
## 424 28.0 2.4096386 0.87265777
## 425 27.6 2.4096386 0.87325595
## 426 27.2 2.4096386 0.87460816
## 427 26.8 2.4096386 0.87607398
## 428 26.4 2.4096386 0.87648760
## 429 26.0 2.4096386 0.87682621
## 430 25.6 2.4096386 0.87737961
## 431 25.2 2.4096386 0.87841304
## 432 24.8 2.4096386 0.87935481
## 433 24.4 2.4096386 0.87995089
## 434 24.0 2.4096386 0.88227574
## 435 23.6 2.4096386 0.88522080
## 436 23.2 2.4096386 0.88666967
## 437 23.2 2.0080321 0.88727205
## 438 22.8 2.0080321 0.88909364
## 439 22.4 2.0080321 0.89080941
## 440 22.0 2.0080321 0.89101984
## 441 21.6 2.0080321 0.89125273
## 442 21.6 1.6064257 0.89128500
## 443 21.2 1.6064257 0.89317967
## 444 20.8 1.6064257 0.89587030
## 445 20.4 1.6064257 0.89715771
## 446 20.0 1.6064257 0.89777386
## 447 19.6 1.6064257 0.89925657
## 448 19.2 1.6064257 0.90141651
## 449 18.8 1.6064257 0.90283631
## 450 18.4 1.6064257 0.90384505
## 451 18.0 1.6064257 0.90440610
## 452 17.6 1.6064257 0.90468769
## 453 17.2 1.6064257 0.90493336
## 454 16.8 1.6064257 0.90521820
## 455 16.4 1.6064257 0.90574760
## 456 16.4 1.2048193 0.90729820
## 457 16.0 1.2048193 0.90940216
## 458 15.6 1.2048193 0.91210618
## 459 15.2 1.2048193 0.91412963
## 460 14.8 1.2048193 0.91552682
## 461 14.4 1.2048193 0.91687499
## 462 14.0 1.2048193 0.91912625
## 463 13.6 1.2048193 0.92138322
## 464 13.2 1.2048193 0.92264114
## 465 12.8 1.2048193 0.92412378
## 466 12.4 1.2048193 0.92601921
## 467 12.0 1.2048193 0.92881795
## 468 11.6 1.2048193 0.93026290
## 469 11.2 1.2048193 0.93151224
## 470 10.8 1.2048193 0.93321934
## 471 10.4 1.2048193 0.93543001
## 472 10.0 1.2048193 0.93739440
## 473 9.6 1.2048193 0.93834339
## 474 9.2 1.2048193 0.93943871
## 475 8.8 1.2048193 0.94067212
## 476 8.4 1.2048193 0.94237114
## 477 8.0 1.2048193 0.94373593
## 478 7.6 1.2048193 0.94491678
## 479 7.2 1.2048193 0.94614698
## 480 6.8 1.2048193 0.94942243
## 481 6.4 1.2048193 0.95254116
## 482 6.0 1.2048193 0.95432933
## 483 5.6 1.2048193 0.95586666
## 484 5.2 1.2048193 0.95797478
## 485 5.2 0.8032129 0.96045390
## 486 4.8 0.8032129 0.96197381
## 487 4.4 0.8032129 0.96545269
## 488 4.4 0.4016064 0.96875574
## 489 4.0 0.4016064 0.97095436
## 490 3.6 0.4016064 0.97236587
## 491 3.2 0.4016064 0.97249995
## 492 2.8 0.4016064 0.97272818
## 493 2.4 0.4016064 0.97329910
## 494 2.0 0.4016064 0.97385008
## 495 2.0 0.0000000 0.97654097
## 496 1.6 0.0000000 0.97944035
## 497 1.2 0.0000000 0.98070412
## 498 0.8 0.0000000 0.98457272
## 499 0.4 0.0000000 0.98845958
## 500 0.0 0.0000000 Infhead(roc.df) ## tpp fpp thresholds
## 1 100 100.00000 -Inf
## 2 100 99.59839 0.01027357
## 3 100 99.19679 0.01153701
## 4 100 98.79518 0.01191248
## 5 100 98.39357 0.01269540
## 6 100 97.99197 0.01500362## head() will show us the values for the upper right-hand corner of the ROC graph, when the threshold is so low
## (negative infinity) that every single sample is called "obese".
## Thus TPP = 100% and FPP = 100%
tail(roc.df) ## tpp fpp thresholds
## 495 2.0 0 0.9765410
## 496 1.6 0 0.9794403
## 497 1.2 0 0.9807041
## 498 0.8 0 0.9845727
## 499 0.4 0 0.9884596
## 500 0.0 0 Inf## tail() will show us the values for the lower left-hand corner
## of the ROC graph, when the threshold is so high (infinity)
## that every single sample is called "not obese".
## Thus, TPP = 0% and FPP = 0%
## now let's look at the thresholds between TPP 60% and 80%
roc.df[roc.df$tpp > 60 & roc.df$tpp < 80,]## tpp fpp thresholds
## 233 79.6 27.30924 0.4718152
## 234 79.2 27.30924 0.4743429
## 235 79.2 26.90763 0.4762892
## 236 79.2 26.50602 0.4807015
## 237 79.2 26.10442 0.4851493
## 238 79.2 25.70281 0.4855249
## 239 78.8 25.70281 0.4864038
## 240 78.4 25.70281 0.4878408
## 241 78.4 25.30120 0.4897504
## 242 78.4 24.89960 0.4916203
## 243 78.0 24.89960 0.4934804
## 244 78.0 24.49799 0.4963657
## 245 78.0 24.09639 0.4987195
## 246 77.6 24.09639 0.5016512
## 247 77.2 24.09639 0.5059071
## 248 77.2 23.69478 0.5080666
## 249 77.2 23.29317 0.5089305
## 250 77.2 22.89157 0.5107794
## 251 76.8 22.89157 0.5134024
## 252 76.4 22.89157 0.5164124
## 253 76.4 22.48996 0.5189634
## 254 76.0 22.48996 0.5210429
## 255 75.6 22.48996 0.5222118
## 256 75.6 22.08835 0.5228984
## 257 75.6 21.68675 0.5253907
## 258 75.6 21.28514 0.5280852
## 259 75.6 20.88353 0.5314603
## 260 75.2 20.88353 0.5349255
## 261 75.2 20.48193 0.5362738
## 262 74.8 20.48193 0.5371038
## 263 74.8 20.08032 0.5380235
## 264 74.4 20.08032 0.5440775
## 265 74.4 19.67871 0.5504565
## 266 74.0 19.67871 0.5545439
## 267 73.6 19.67871 0.5589499
## 268 73.6 19.27711 0.5618385
## 269 73.6 18.87550 0.5658551
## 270 73.6 18.47390 0.5701151
## 271 73.6 18.07229 0.5721805
## 272 73.2 18.07229 0.5756000
## 273 72.8 18.07229 0.5801219
## 274 72.4 18.07229 0.5823314
## 275 72.0 18.07229 0.5840805
## 276 72.0 17.67068 0.5850694
## 277 71.6 17.67068 0.5854422
## 278 71.6 17.26908 0.5866735
## 279 71.2 17.26908 0.5890358
## 280 70.8 17.26908 0.5937030
## 281 70.8 16.86747 0.5996982
## 282 70.4 16.86747 0.6034262
## 283 70.0 16.86747 0.6050513
## 284 70.0 16.46586 0.6078922
## 285 69.6 16.46586 0.6121236
## 286 69.2 16.46586 0.6141684
## 287 68.8 16.46586 0.6146462
## 288 68.4 16.46586 0.6152987
## 289 68.0 16.46586 0.6156451
## 290 67.6 16.46586 0.6165064
## 291 67.2 16.46586 0.6191170
## 292 66.8 16.46586 0.6227872
## 293 66.4 16.46586 0.6303303
## 294 66.4 16.06426 0.6370961
## 295 66.0 16.06426 0.6387064
## 296 65.6 16.06426 0.6393020
## 297 65.2 16.06426 0.6399340
## 298 64.8 16.06426 0.6406865
## 299 64.4 16.06426 0.6413585
## 300 64.4 15.66265 0.6426396
## 301 64.0 15.66265 0.6449201
## 302 63.6 15.66265 0.6464327
## 303 63.6 15.26104 0.6484651
## 304 63.2 15.26104 0.6523983
## 305 62.8 15.26104 0.6551068
## 306 62.8 14.85944 0.6563812
## 307 62.8 14.45783 0.6588579
## 308 62.8 14.05622 0.6629572
## 309 62.4 14.05622 0.6657974
## 310 62.0 14.05622 0.6681603
## 311 61.6 14.05622 0.6704980
## 312 61.2 14.05622 0.6730215
## 313 60.8 14.05622 0.6753517
## 314 60.8 13.65462 0.6765982
## 315 60.8 13.25301 0.6816788
## 316 60.4 13.25301 0.6867308
## 317 60.4 12.85141 0.6885624
## 318 60.4 12.44980 0.6930387roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4, percent=TRUE)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
##
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values, percent = TRUE, plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage", ylab = "True Postive Percentage", col = "#377eb8", lwd = 4)
##
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 86.06%roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4, percent=TRUE, print.auc=TRUE)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
##
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values, percent = TRUE, plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage", ylab = "True Postive Percentage", col = "#377eb8", lwd = 4, print.auc = TRUE)
##
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 86.06%roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4, percent=TRUE, print.auc=TRUE, partial.auc=c(100, 90), auc.polygon = TRUE, auc.polygon.col = "#377eb822", print.auc.x=45)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
##
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values, percent = TRUE, plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage", ylab = "True Postive Percentage", col = "#377eb8", lwd = 4, print.auc = TRUE, partial.auc = c(100, 90), auc.polygon = TRUE, auc.polygon.col = "#377eb822", print.auc.x = 45)
##
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Partial area under the curve (specificity 100%-90%): 3.769%# Lets do two roc plots to understand which model is better
roc(data$Diabetes_binary, logistic_simple$fitted.values, plot=TRUE, legacy.axes=TRUE, percent=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4, print.auc=TRUE)## Setting levels: control = 0, case = 1
## Setting direction: controls < cases##
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic_simple$fitted.values, percent = TRUE, plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage", ylab = "True Postive Percentage", col = "#377eb8", lwd = 4, print.auc = TRUE)
##
## Data: logistic_simple$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 69.8%# Lets add the other graph
plot.roc(data$Diabetes_binary, logistic$fitted.values, percent=TRUE, col="#4daf4a", lwd=4, print.auc=TRUE, add=TRUE, print.auc.y=40)## Setting levels: control = 0, case = 1
## Setting direction: controls < caseslegend("bottomright", legend=c("Simple", "Non Simple"), col=c("#377eb8", "#4daf4a"), lwd=4) 
Inference regarding Logistic Regression
- Factors that have p<0.05 are good indicators of whether a person will have diabetes or not: High BP, BMI,General health,Physical health and Age.
- Intercept: The log-odds of Survival when Age=0 is -2.812. For every unit increase in age the log odds of having diabetes will increase by 0.313.
- As p-value is <0.5 for Age component we will reject null hypothesis. It means that age factor affects a person getting diabetes.
- For every increase in unit age the odds of having diabetes are 0.968 times the odds of those with one age unit less.
- The count of predicted cases increases as the probability of diabetes and age group increases, which is not surprising as diabetes is more common in older age groups.
- An AUC with value of 0.86(leaning more towards 1) says that the model is able to differentiate clearly whether person will be diabetic or non-diabetic.
Scatter plot
library(ggplot2)
library(lattice)
library(ggridges)## Warning: package 'ggridges' was built under R version 4.2.2library(ggvis)## Warning: package 'ggvis' was built under R version 4.2.2##
## Attaching package: 'ggvis'## The following object is masked from 'package:ggplot2':
##
## resolutionlibrary(ggthemes)## Warning: package 'ggthemes' was built under R version 4.2.2##
## Attaching package: 'ggthemes'## The following object is masked from 'package:cowplot':
##
## theme_maplibrary(cowplot)
library(gapminder)## Warning: package 'gapminder' was built under R version 4.2.2library(gganimate)## Warning: package 'gganimate' was built under R version 4.2.2## No renderer backend detected. gganimate will default to writing frames to separate files
## Consider installing:
## - the `gifski` package for gif output
## - the `av` package for video output
## and restarting the R session##
## Attaching package: 'gganimate'## The following object is masked from 'package:ggvis':
##
## view_staticlibrary(dplyr)## Warning: package 'dplyr' was built under R version 4.2.2##
## Attaching package: 'dplyr'## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
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## ──## ✔ tibble 3.1.8 ✔ stringr 1.5.0
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library(gridExtra)## Warning: package 'gridExtra' was built under R version 4.2.2##
## Attaching package: 'gridExtra'
##
## The following object is masked from 'package:dplyr':
##
## combinelibrary(RColorBrewer)
library(readr)
Diabetes <- read_csv("C:/Users/vidhi/Downloads/Diabetes.csv")## Rows: 499 Columns: 16
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## dbl (16): Diabetes_binary, HighBP, BMI, Smoker, Stroke, HeartDiseaseorAttack...
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.ggplot(Diabetes, aes(x=Smoker,y=PhysActivity))+geom_point(aes(color=Diabetes_binary)) 
ggplot(Diabetes, aes(x=BMI,y=HeartDiseaseorAttack))+geom_point(aes(color=Sex)) 
ggplot(Diabetes, aes(x=HvyAlcoholConsump,y=HeartDiseaseorAttack)) + facet_wrap(~GenHlth) + geom_point(aes(color=Diabetes_binary))
# Histogram
ggplot(Diabetes, aes(HeartDiseaseorAttack))+geom_histogram(fill='pink', color='white',bins=10)
ggplot(Diabetes, aes(GenHlth))+geom_histogram(aes(fill=after_stat(count)))## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
ggplot(Diabetes, aes(x=HeartDiseaseorAttack, fill=Diabetes_binary)) + geom_bar()+theme_bw()## Warning: The following aesthetics were dropped during statistical transformation: fill
## ℹ This can happen when ggplot fails to infer the correct grouping structure in
## the data.
## ℹ Did you forget to specify a `group` aesthetic or to convert a numerical
## variable into a factor?
ggplot(Diabetes, aes(HeartDiseaseorAttack))+ geom_bar(position="stack", fill='lightblue') 
ggplot(Diabetes, aes(Income)) + facet_grid(.~Diabetes_binary) + geom_bar(position="dodge",fill='lightblue')
ggplot(Diabetes, aes(Sex)) + facet_grid(.~Diabetes_binary) + geom_bar(position="dodge")+scale_fill_manual(values=c("blue", "pink"), name="Sex", labels=c("Male", "Female"))
# Regression
ggplot(Diabetes, aes(x=Income,y=Diabetes_binary))+geom_point()+ geom_smooth(method=lm,se= FALSE)## `geom_smooth()` using formula = 'y ~ x'
ggplot(Diabetes, aes(x=Age,y=Diabetes_binary)) + geom_point() + stat_smooth()## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
# Violin plot
ggplot(Diabetes, aes(x=Diabetes_binary,y=Age)) + geom_violin()
ggplot(Diabetes, aes(x=Diabetes_binary,y=Sex)) + geom_violin()
ggplot(Diabetes, aes(x=Diabetes_binary,y=Income)) + geom_violin()
ggplot(Diabetes, aes(x=Diabetes_binary,y=HeartDiseaseorAttack)) + geom_violin()
ggplot(Diabetes, aes(x=Diabetes_binary,y=MentHlth)) + geom_violin()
# box plot
ggplot(Diabetes, aes(x=Age,y=Income)) + geom_boxplot()## Warning: Continuous x aesthetic
## ℹ did you forget `aes(group = ...)`?
ggplot(Diabetes, aes(x=BMI,y=Age)) + geom_boxplot() + coord_flip()## Warning: Continuous x aesthetic
## ℹ did you forget `aes(group = ...)`?
# density plot and ggridges
ggplot(Diabetes, aes(x=BMI)) + geom_density() 
ggplot(Diabetes, aes(x=Age, fill=Diabetes_binary)) + geom_density() ## Warning: The following aesthetics were dropped during statistical transformation: fill
## ℹ This can happen when ggplot fails to infer the correct grouping structure in
## the data.
## ℹ Did you forget to specify a `group` aesthetic or to convert a numerical
## variable into a factor?
ggplot(Diabetes, aes(x=Income, fill=Diabetes_binary)) + geom_density() ## Warning: The following aesthetics were dropped during statistical transformation: fill
## ℹ This can happen when ggplot fails to infer the correct grouping structure in
## the data.
## ℹ Did you forget to specify a `group` aesthetic or to convert a numerical
## variable into a factor?
ggplot(Diabetes, aes(x=Education, fill=Diabetes_binary)) + geom_density(alpha=0.3, aes(y=after_stat(scaled))) ## Warning: The following aesthetics were dropped during statistical transformation: fill
## ℹ This can happen when ggplot fails to infer the correct grouping structure in
## the data.
## ℹ Did you forget to specify a `group` aesthetic or to convert a numerical
## variable into a factor?
ggplot(Diabetes, aes(x=AnyHealthcare)) + geom_density(color='blue') 
# hexbin
ggplot(Diabetes, aes(x=Diabetes_binary, y=PhysHlth)) + geom_hex()
# Inference regarding Scatter plot
- From the bar chart we can infer probablity of Males having diabetes are higher as compared to females.
- People with higher income have less probablity of suffering from Diabetes as compared to people with more income.
- People having heartattack have less chances of having Diabetes.